Explaining The Least Common Multiple Of 9 And 4

LCM of 4 and 9 How to Find LCM of 4, 9? from www.cuemath.com

Introduction

As a professional teacher, one of the most important things is to ensure that your students understand the concepts you teach. One of such concepts is the least common multiple. In this article, we will be discussing what the least common multiple of 9 and 4 is and how to find it.

What is a Multiple?

Before we dive into finding the least common multiple of 9 and 4, it is important to understand what a multiple is. A multiple is a number that can be divided by another number without a remainder. For example, 6 is a multiple of 3 because it can be divided by 3 without a remainder.

What is the Least Common Multiple?

The least common multiple (LCM) is the smallest multiple that two or more numbers have in common. For example, the LCM of 2 and 3 is 6 because 6 is the smallest number that both 2 and 3 can divide into without a remainder.

Finding the Least Common Multiple of 9 and 4

To find the LCM of 9 and 4, we need to list their multiples and find the smallest one they have in common.

Multiples of 9

The multiples of 9 are: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144, 153, 162, 171, 180, 189, 198, 207, 216, 225, 234, 243, 252, 261, 270, 279, 288, 297, 306, 315, 324, 333, 342, 351, 360, 369, 378, 387, 396, 405, 414, 423, 432, 441, 450, 459, 468, 477, 486, 495, 504, 513, 522, 531, 540, 549, 558, 567, 576, 585, 594, 603, 612, 621, 630, 639, 648, 657, 666, 675, 684, 693, 702, 711, 720, 729, 738, 747, 756, 765, 774, 783, 792, 801, 810, 819, 828, 837, 846, 855, 864, 873, 882, 891, 900.

Multiples of 4

The multiples of 4 are: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100, 104, 108, 112, 116, 120, 124, 128, 132, 136, 140, 144, 148, 152, 156, 160, 164, 168, 172, 176, 180, 184, 188, 192, 196, 200, 204, 208, 212, 216, 220, 224, 228, 232, 236, 240, 244, 248, 252, 256, 260, 264, 268, 272, 276, 280, 284, 288, 292, 296, 300.

Finding the LCM

From the list of multiples, we can see that the smallest multiple that both 9 and 4 have in common is 36. Therefore, the LCM of 9 and 4 is 36.

Conclusion

In conclusion, the least common multiple of 9 and 4 is 36. To find the LCM of two or more numbers, you need to list their multiples and find the smallest one they have in common.