Given numbers are 756,709,700,199,404

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

The LCM of 756,709,700,199,404 is 269328609900.

Find LCM of 756,709,700,199,404 with Prime Factorization

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

2 x 2 x 7 x 27 x 709 x 25 x 199 x 101 = 269328609900

Therefore, the lowest common multiple of 756,709,700,199,404 is 269328609900.

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.

756 x 709 x 700 x 199 x 404 = 30164804308800

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.

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

709 : 1, 709

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

199 : 1, 199

404 : 1, 2, 4, 101, 202, 404

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,709,700,199,404, is 1.

Now, the common factors can be found like this.

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

709:709

700:2x 2x 5x 5x 7

199:199

404:2x 2x 101

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 7 = 112

Therefore, the value for common factors is 112.

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 = 30164804308800/(1x112)

LCM = 30164804308800/112

LCM = 269328609900

Thus, we can understand that the LCM of 756,709,700,199,404 is 269328609900.

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

• LCM of 663, 155, 774, 406, 981
• LCM of 488, 854, 133, 707, 790
• LCM of 711, 696, 328, 289, 994
• LCM of 556, 265, 119, 869, 308
• LCM of 584, 471, 825, 556, 179

1. What is the LCM of 756, 709, 700, 199, 404?

Answer: LCM of 756, 709, 700, 199, 404 is 269328609900.

2. How to calculate the LCM of 756, 709, 700, 199, 404?

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 756, 709, 700, 199, 404.

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}.