Given numbers are 730,748,343

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

The LCM of 730,748,343 is 93645860.

Find LCM of 730,748,343 with Prime Factorization

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

2 x 365 x 374 x 343 = 93645860

Therefore, the lowest common multiple of 730,748,343 is 93645860.

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.

730 x 748 x 343 = 187291720

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.

730 : 1, 2, 5, 10, 73, 146, 365, 730

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

343 : 1, 7, 49, 343

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 730,748,343, is 1.

Now, the common factors can be found like this.

730:2x 5x 73

748:2x 2x 11x 17

343:7x 7x 7

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 = 187291720/(1x2)

LCM = 187291720/2

LCM = 93645860

Thus, we can understand that the LCM of 730,748,343 is 93645860.

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

• LCM of 413, 149, 563
• LCM of 836, 734, 549
• LCM of 540, 107, 483
• LCM of 800, 794, 244
• LCM of 739, 817, 121

1. What is the LCM of 730, 748, 343?

Answer: LCM of 730, 748, 343 is 93645860.

2. How to calculate the LCM of 730, 748, 343?

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 730, 748, 343.

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}.