Given numbers are 726,294,462,740

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

The LCM of 726,294,462,740 is 13162380.

Find LCM of 726,294,462,740 with Prime Factorization

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

2 x 3 x 7 x 11 x 1 x 7 x 11 x 370 = 13162380

Therefore, the lowest common multiple of 726,294,462,740 is 13162380.

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 294 x 462 x 740 = 72972234720

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

294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,294,462,740, is 2.

Now, the common factors can be found like this.

726:2x 3x 11x 11

294:2x 3x 7x 7

462:2x 3x 7x 11

740:2x 2x 5x 37

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 3x 3x 7x 11 = 2772

Therefore, the value for common factors is 2772.

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 = 72972234720/(2x2772)

LCM = 72972234720/5544

LCM = 13162380

Thus, we can understand that the LCM of 726,294,462,740 is 13162380.

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

• LCM of 325, 416, 607, 882
• LCM of 178, 123, 341, 990
• LCM of 222, 474, 738, 138
• LCM of 598, 191, 109, 698
• LCM of 171, 859, 948, 359

1. What is the LCM of 726, 294, 462, 740?

Answer: LCM of 726, 294, 462, 740 is 13162380.

2. How to calculate the LCM of 726, 294, 462, 740?

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, 294, 462, 740.

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}.