Given numbers are 726,498,377,194,840

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

The LCM of 726,498,377,194,840 is 308500472280.

Find LCM of 726,498,377,194,840 with Prime Factorization

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

2 x 3 x 121 x 83 x 377 x 97 x 140 = 308500472280

Therefore, the lowest common multiple of 726,498,377,194,840 is 308500472280.

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.

726 x 498 x 377 x 194 x 840 = 22212034004160

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.

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

498 : 1, 2, 3, 6, 83, 166, 249, 498

377 : 1, 13, 29, 377

194 : 1, 2, 97, 194

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 726,498,377,194,840, is 1.

Now, the common factors can be found like this.

726:2x 3x 11x 11

498:2x 3x 83

377:13x 29

194:2x 97

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 2x 2x 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 22212034004160/(1x72)

LCM = 22212034004160/72

LCM = 308500472280

Thus, we can understand that the LCM of 726,498,377,194,840 is 308500472280.

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

• LCM of 715, 313, 748, 139, 422
• LCM of 611, 982, 335, 453, 996
• LCM of 339, 274, 537, 235, 991
• LCM of 358, 340, 187, 887, 996
• LCM of 265, 596, 575, 608, 783

1. What is the LCM of 726, 498, 377, 194, 840?

Answer: LCM of 726, 498, 377, 194, 840 is 308500472280.

2. How to calculate the LCM of 726, 498, 377, 194, 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 726, 498, 377, 194, 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}.