Given numbers are 312,680,560,767,946

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

The LCM of 312,680,560,767,946 is 10361310960.

Find LCM of 312,680,560,767,946 with Prime Factorization

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

2 x 2 x 2 x 5 x 13 x 3 x 17 x 14 x 59 x 473 = 10361310960

Therefore, the lowest common multiple of 312,680,560,767,946 is 10361310960.

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.

312 x 680 x 560 x 767 x 946 = 86206107187200

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.

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

767 : 1, 13, 59, 767

946 : 1, 2, 11, 22, 43, 86, 473, 946

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,680,560,767,946, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

680:2x 2x 2x 5x 17

560:2x 2x 2x 2x 5x 7

767:13x 59

946:2x 11x 43

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 2x 2x 2x 5x 13 = 8320

Therefore, the value for common factors is 8320.

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 = 86206107187200/(1x8320)

LCM = 86206107187200/8320

LCM = 10361310960

Thus, we can understand that the LCM of 312,680,560,767,946 is 10361310960.

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

• LCM of 438, 899, 775, 591, 443
• LCM of 898, 657, 983, 581, 228
• LCM of 678, 744, 624, 599, 253
• LCM of 331, 372, 767, 744, 657
• LCM of 542, 825, 556, 405, 131

1. What is the LCM of 312, 680, 560, 767, 946?

Answer: LCM of 312, 680, 560, 767, 946 is 10361310960.

2. How to calculate the LCM of 312, 680, 560, 767, 946?

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 312, 680, 560, 767, 946.

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}.