Given numbers are 740,214,746,976

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

The LCM of 740,214,746,976 is 7206330160.

Find LCM of 740,214,746,976 with Prime Factorization

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

2 x 2 x 185 x 107 x 373 x 244 = 7206330160

Therefore, the lowest common multiple of 740,214,746,976 is 7206330160.

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.

740 x 214 x 746 x 976 = 115301282560

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.

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

214 : 1, 2, 107, 214

746 : 1, 2, 373, 746

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 740,214,746,976, is 2.

Now, the common factors can be found like this.

740:2x 2x 5x 37

214:2x 107

746:2x 373

976:2x 2x 2x 2x 61

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 2 = 8

Therefore, the value for common factors is 8.

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 = 115301282560/(2x8)

LCM = 115301282560/16

LCM = 7206330160

Thus, we can understand that the LCM of 740,214,746,976 is 7206330160.

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

• LCM of 428, 611, 149, 838
• LCM of 904, 853, 670, 735
• LCM of 550, 446, 709, 491
• LCM of 646, 917, 592, 729
• LCM of 609, 258, 271, 247

1. What is the LCM of 740, 214, 746, 976?

Answer: LCM of 740, 214, 746, 976 is 7206330160.

2. How to calculate the LCM of 740, 214, 746, 976?

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 740, 214, 746, 976.

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}.