Given numbers are 906,744,402,893,975

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

The LCM of 906,744,402,893,975 is 2184537505800.

Find LCM of 906,744,402,893,975 with Prime Factorization

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

2 x 3 x 151 x 124 x 67 x 893 x 325 = 2184537505800

Therefore, the lowest common multiple of 906,744,402,893,975 is 2184537505800.

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 744 x 402 x 893 x 975 = 235930050626400

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

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

402 : 1, 2, 3, 6, 67, 134, 201, 402

893 : 1, 19, 47, 893

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,744,402,893,975, is 1.

Now, the common factors can be found like this.

906:2x 3x 151

744:2x 2x 2x 3x 31

402:2x 3x 67

893:19x 47

975:3x 5x 5x 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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 235930050626400/(1x108)

LCM = 235930050626400/108

LCM = 2184537505800

Thus, we can understand that the LCM of 906,744,402,893,975 is 2184537505800.

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

• LCM of 705, 790, 520, 384, 390
• LCM of 969, 974, 783, 163, 295
• LCM of 406, 522, 886, 496, 473
• LCM of 438, 823, 866, 652, 268
• LCM of 151, 433, 291, 912, 959

1. What is the LCM of 906, 744, 402, 893, 975?

Answer: LCM of 906, 744, 402, 893, 975 is 2184537505800.

2. How to calculate the LCM of 906, 744, 402, 893, 975?

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, 744, 402, 893, 975.

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}.