Given numbers are 457,624,714,375

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

The LCM of 457,624,714,375 is 4241874000.

Find LCM of 457,624,714,375 with Prime Factorization

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

2 x 3 x 457 x 104 x 119 x 125 = 4241874000

Therefore, the lowest common multiple of 457,624,714,375 is 4241874000.

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.

457 x 624 x 714 x 375 = 76353732000

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.

457 : 1, 457

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

375 : 1, 3, 5, 15, 25, 75, 125, 375

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 457,624,714,375, is 1.

Now, the common factors can be found like this.

457:457

624:2x 2x 2x 2x 3x 13

714:2x 3x 7x 17

375:3x 5x 5x 5

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 76353732000/(1x18)

LCM = 76353732000/18

LCM = 4241874000

Thus, we can understand that the LCM of 457,624,714,375 is 4241874000.

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

• LCM of 375, 534, 541, 805
• LCM of 836, 893, 876, 826
• LCM of 505, 503, 310, 667
• LCM of 348, 213, 345, 596
• LCM of 190, 715, 525, 407

1. What is the LCM of 457, 624, 714, 375?

Answer: LCM of 457, 624, 714, 375 is 4241874000.

2. How to calculate the LCM of 457, 624, 714, 375?

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 457, 624, 714, 375.

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}.