Given numbers are 312,660,902,132,692

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

The LCM of 312,660,902,132,692 is 121715880.

Find LCM of 312,660,902,132,692 with Prime Factorization

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

2 x 2 x 3 x 11 x 26 x 5 x 41 x 1 x 173 = 121715880

Therefore, the lowest common multiple of 312,660,902,132,692 is 121715880.

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 660 x 902 x 132 x 692 = 16966219944960

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

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

902 : 1, 2, 11, 22, 41, 82, 451, 902

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

692 : 1, 2, 4, 173, 346, 692

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,660,902,132,692, is 2.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

660:2x 2x 3x 5x 11

902:2x 11x 41

132:2x 2x 3x 11

692:2x 2x 173

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 3x 3x 11x 11 = 69696

Therefore, the value for common factors is 69696.

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 = 16966219944960/(2x69696)

LCM = 16966219944960/139392

LCM = 121715880

Thus, we can understand that the LCM of 312,660,902,132,692 is 121715880.

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

• LCM of 336, 251, 430, 897, 365
• LCM of 310, 966, 566, 387, 755
• LCM of 483, 174, 478, 166, 952
• LCM of 479, 635, 435, 767, 327
• LCM of 970, 751, 962, 823, 552

1. What is the LCM of 312, 660, 902, 132, 692?

Answer: LCM of 312, 660, 902, 132, 692 is 121715880.

2. How to calculate the LCM of 312, 660, 902, 132, 692?

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, 660, 902, 132, 692.

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}.