Given numbers are 126,120,736,386,430

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 126,120,736,386,430 is 1924040160.

Find LCM of 126,120,736,386,430 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 2 x 3 x 5 x 21 x 1 x 92 x 193 x 43 = 1924040160

Therefore, the lowest common multiple of 126,120,736,386,430 is 1924040160.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

126 x 120 x 736 x 386 x 430 = 1847078553600

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

386 : 1, 2, 193, 386

430 : 1, 2, 5, 10, 43, 86, 215, 430

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 126,120,736,386,430, is 2.

Now, the common factors can be found like this.

126:2x 3x 3x 7

120:2x 2x 2x 3x 5

736:2x 2x 2x 2x 2x 23

386:2x 193

430:2x 5x 43

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 2x 3x 5 = 480

Therefore, the value for common factors is 480.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 1847078553600/(2x480)

LCM = 1847078553600/960

LCM = 1924040160

Thus, we can understand that the LCM of 126,120,736,386,430 is 1924040160.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 696, 390, 562, 795, 136
• LCM of 363, 909, 127, 837, 556
• LCM of 302, 134, 662, 915, 680
• LCM of 588, 391, 735, 894, 103
• LCM of 713, 787, 653, 181, 356

1. What is the LCM of 126, 120, 736, 386, 430?

Answer: LCM of 126, 120, 736, 386, 430 is 1924040160.

2. How to calculate the LCM of 126, 120, 736, 386, 430?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 126, 120, 736, 386, 430.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.