Given numbers are 756,142,717,118,690

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

The LCM of 756,142,717,118,690 is 87041806740.

Find LCM of 756,142,717,118,690 with Prime Factorization

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

2 x 3 x 126 x 71 x 239 x 59 x 115 = 87041806740

Therefore, the lowest common multiple of 756,142,717,118,690 is 87041806740.

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 142 x 717 x 118 x 690 = 6267010085280

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

142 : 1, 2, 71, 142

717 : 1, 3, 239, 717

118 : 1, 2, 59, 118

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,142,717,118,690, is 1.

Now, the common factors can be found like this.

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

142:2x 71

717:3x 239

118:2x 59

690:2x 3x 5x 23

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 6267010085280/(1x72)

LCM = 6267010085280/72

LCM = 87041806740

Thus, we can understand that the LCM of 756,142,717,118,690 is 87041806740.

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

• LCM of 800, 854, 834, 971, 762
• LCM of 980, 844, 416, 611, 171
• LCM of 257, 144, 816, 999, 809
• LCM of 273, 759, 417, 627, 813
• LCM of 768, 107, 838, 346, 370

1. What is the LCM of 756, 142, 717, 118, 690?

Answer: LCM of 756, 142, 717, 118, 690 is 87041806740.

2. How to calculate the LCM of 756, 142, 717, 118, 690?

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, 142, 717, 118, 690.

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}.