Given numbers are 346,821,756,517,677

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

The LCM of 346,821,756,517,677 is 37582898192532.

Find LCM of 346,821,756,517,677 with Prime Factorization

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

2 x 173 x 821 x 378 x 517 x 677 = 37582898192532

Therefore, the lowest common multiple of 346,821,756,517,677 is 37582898192532.

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.

346 x 821 x 756 x 517 x 677 = 75165796385064

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.

346 : 1, 2, 173, 346

821 : 1, 821

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

517 : 1, 11, 47, 517

677 : 1, 677

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 346,821,756,517,677, is 1.

Now, the common factors can be found like this.

346:2x 173

821:821

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

517:11x 47

677:677

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 75165796385064/(1x2)

LCM = 75165796385064/2

LCM = 37582898192532

Thus, we can understand that the LCM of 346,821,756,517,677 is 37582898192532.

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

• LCM of 749, 239, 935, 262, 974
• LCM of 411, 541, 154, 857, 634
• LCM of 684, 837, 791, 315, 847
• LCM of 266, 178, 524, 327, 652
• LCM of 128, 874, 745, 635, 298

1. What is the LCM of 346, 821, 756, 517, 677?

Answer: LCM of 346, 821, 756, 517, 677 is 37582898192532.

2. How to calculate the LCM of 346, 821, 756, 517, 677?

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 346, 821, 756, 517, 677.

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}.