Given numbers are 414,372,138,157,572

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

The LCM of 414,372,138,157,572 is 576272268.

Find LCM of 414,372,138,157,572 with Prime Factorization

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

2 x 2 x 3 x 23 x 1 x 31 x 3 x 157 x 143 = 576272268

Therefore, the lowest common multiple of 414,372,138,157,572 is 576272268.

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.

414 x 372 x 138 x 157 x 572 = 1908613751616

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.

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

138 : 1, 2, 3, 6, 23, 46, 69, 138

157 : 1, 157

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,372,138,157,572, is 1.

Now, the common factors can be found like this.

414:2x 3x 3x 23

372:2x 2x 3x 31

138:2x 3x 23

157:157

572:2x 2x 11x 13

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 3x 3x 23 = 3312

Therefore, the value for common factors is 3312.

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 = 1908613751616/(1x3312)

LCM = 1908613751616/3312

LCM = 576272268

Thus, we can understand that the LCM of 414,372,138,157,572 is 576272268.

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

• LCM of 536, 222, 882, 684, 848
• LCM of 975, 463, 605, 879, 516
• LCM of 134, 815, 462, 642, 761
• LCM of 390, 991, 561, 756, 844
• LCM of 196, 140, 302, 413, 277

1. What is the LCM of 414, 372, 138, 157, 572?

Answer: LCM of 414, 372, 138, 157, 572 is 576272268.

2. How to calculate the LCM of 414, 372, 138, 157, 572?

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 414, 372, 138, 157, 572.

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}.