Given numbers are 979,414,777,840

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

The LCM of 979,414,777,840 is 2099485080.

Find LCM of 979,414,777,840 with Prime Factorization

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

2 x 3 x 7 x 979 x 69 x 37 x 20 = 2099485080

Therefore, the lowest common multiple of 979,414,777,840 is 2099485080.

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.

979 x 414 x 777 x 840 = 264535120080

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.

979 : 1, 11, 89, 979

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

777 : 1, 3, 7, 21, 37, 111, 259, 777

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 979,414,777,840, is 1.

Now, the common factors can be found like this.

979:11x 89

414:2x 3x 3x 23

777:3x 7x 37

840:2x 2x 2x 3x 5x 7

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 3x 7 = 126

Therefore, the value for common factors is 126.

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 = 264535120080/(1x126)

LCM = 264535120080/126

LCM = 2099485080

Thus, we can understand that the LCM of 979,414,777,840 is 2099485080.

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

• LCM of 634, 567, 694, 380
• LCM of 899, 514, 335, 743
• LCM of 518, 601, 870, 851
• LCM of 853, 269, 371, 331
• LCM of 475, 189, 862, 863

1. What is the LCM of 979, 414, 777, 840?

Answer: LCM of 979, 414, 777, 840 is 2099485080.

2. How to calculate the LCM of 979, 414, 777, 840?

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 979, 414, 777, 840.

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}.