Given numbers are 564,912,832,438

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

The LCM of 564,912,832,438 is 162711744.

Find LCM of 564,912,832,438 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 47 x 19 x 52 x 73 = 162711744

Therefore, the lowest common multiple of 564,912,832,438 is 162711744.

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.

564 x 912 x 832 x 438 = 187443929088

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.

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

438 : 1, 2, 3, 6, 73, 146, 219, 438

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,912,832,438, is 2.

Now, the common factors can be found like this.

564:2x 2x 3x 47

912:2x 2x 2x 2x 3x 19

832:2x 2x 2x 2x 2x 2x 13

438:2x 3x 73

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 2x 3x 3 = 576

Therefore, the value for common factors is 576.

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 = 187443929088/(2x576)

LCM = 187443929088/1152

LCM = 162711744

Thus, we can understand that the LCM of 564,912,832,438 is 162711744.

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

• LCM of 475, 738, 437, 456
• LCM of 731, 219, 511, 827
• LCM of 789, 126, 254, 815
• LCM of 359, 190, 103, 138
• LCM of 906, 866, 191, 116

1. What is the LCM of 564, 912, 832, 438?

Answer: LCM of 564, 912, 832, 438 is 162711744.

2. How to calculate the LCM of 564, 912, 832, 438?

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 564, 912, 832, 438.

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}.