Given numbers are 906,378,692,704,962

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

The LCM of 906,378,692,704,962 is 1671870328128.

Find LCM of 906,378,692,704,962 with Prime Factorization

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

2 x 2 x 3 x 151 x 63 x 173 x 176 x 481 = 1671870328128

Therefore, the lowest common multiple of 906,378,692,704,962 is 1671870328128.

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.

906 x 378 x 692 x 704 x 962 = 160499551500288

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.

906 : 1, 2, 3, 6, 151, 302, 453, 906

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

692 : 1, 2, 4, 173, 346, 692

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

962 : 1, 2, 13, 26, 37, 74, 481, 962

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,378,692,704,962, is 2.

Now, the common factors can be found like this.

906:2x 3x 151

378:2x 3x 3x 3x 7

692:2x 2x 173

704:2x 2x 2x 2x 2x 2x 11

962:2x 13x 37

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 3 = 48

Therefore, the value for common factors is 48.

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 = 160499551500288/(2x48)

LCM = 160499551500288/96

LCM = 1671870328128

Thus, we can understand that the LCM of 906,378,692,704,962 is 1671870328128.

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

• LCM of 397, 686, 865, 335, 461
• LCM of 288, 160, 381, 954, 785
• LCM of 791, 791, 665, 966, 614
• LCM of 939, 141, 866, 979, 308
• LCM of 778, 120, 977, 950, 664

1. What is the LCM of 906, 378, 692, 704, 962?

Answer: LCM of 906, 378, 692, 704, 962 is 1671870328128.

2. How to calculate the LCM of 906, 378, 692, 704, 962?

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 906, 378, 692, 704, 962.

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}.