Given numbers are 814,756,703,975

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

The LCM of 814,756,703,975 is 1899998100.

Find LCM of 814,756,703,975 with Prime Factorization

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

2 x 3 x 37 x 11 x 126 x 19 x 325 = 1899998100

Therefore, the lowest common multiple of 814,756,703,975 is 1899998100.

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.

814 x 756 x 703 x 975 = 421799578200

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.

814 : 1, 2, 11, 22, 37, 74, 407, 814

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

703 : 1, 19, 37, 703

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 814,756,703,975, is 1.

Now, the common factors can be found like this.

814:2x 11x 37

756:2x 2x 3x 3x 3x 7

703:19x 37

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 3x 37 = 222

Therefore, the value for common factors is 222.

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 = 421799578200/(1x222)

LCM = 421799578200/222

LCM = 1899998100

Thus, we can understand that the LCM of 814,756,703,975 is 1899998100.

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

• LCM of 256, 884, 249, 100
• LCM of 147, 481, 790, 933
• LCM of 280, 736, 479, 228
• LCM of 760, 767, 760, 909
• LCM of 955, 124, 194, 115

1. What is the LCM of 814, 756, 703, 975?

Answer: LCM of 814, 756, 703, 975 is 1899998100.

2. How to calculate the LCM of 814, 756, 703, 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 814, 756, 703, 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}.