Given numbers are 339,702,508,312,748

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

The LCM of 339,702,508,312,748 is 7535652696.

Find LCM of 339,702,508,312,748 with Prime Factorization

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

2 x 2 x 3 x 13 x 113 x 9 x 127 x 2 x 187 = 7535652696

Therefore, the lowest common multiple of 339,702,508,312,748 is 7535652696.

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.

339 x 702 x 508 x 312 x 748 = 28213483693824

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.

339 : 1, 3, 113, 339

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

508 : 1, 2, 4, 127, 254, 508

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

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 339,702,508,312,748, is 1.

Now, the common factors can be found like this.

339:3x 113

702:2x 3x 3x 3x 13

508:2x 2x 127

312:2x 2x 2x 3x 13

748:2x 2x 11x 17

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 3x 3x 13 = 3744

Therefore, the value for common factors is 3744.

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 = 28213483693824/(1x3744)

LCM = 28213483693824/3744

LCM = 7535652696

Thus, we can understand that the LCM of 339,702,508,312,748 is 7535652696.

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

• LCM of 328, 229, 920, 473, 808
• LCM of 903, 634, 732, 535, 864
• LCM of 402, 317, 366, 446, 894
• LCM of 549, 689, 818, 864, 629
• LCM of 230, 897, 927, 793, 641

1. What is the LCM of 339, 702, 508, 312, 748?

Answer: LCM of 339, 702, 508, 312, 748 is 7535652696.

2. How to calculate the LCM of 339, 702, 508, 312, 748?

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 339, 702, 508, 312, 748.

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}.