Given numbers are 375,924,511,107,120

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

The LCM of 375,924,511,107,120 is 1804341000.

Find LCM of 375,924,511,107,120 with Prime Factorization

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

2 x 2 x 3 x 5 x 7 x 25 x 11 x 73 x 107 x 2 = 1804341000

Therefore, the lowest common multiple of 375,924,511,107,120 is 1804341000.

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.

375 x 924 x 511 x 107 x 120 = 2273469660000

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.

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

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

511 : 1, 7, 73, 511

107 : 1, 107

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 375,924,511,107,120, is 1.

Now, the common factors can be found like this.

375:3x 5x 5x 5

924:2x 2x 3x 7x 11

511:7x 73

107:107

120:2x 2x 2x 3x 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 2x 3x 3x 5x 7 = 1260

Therefore, the value for common factors is 1260.

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 = 2273469660000/(1x1260)

LCM = 2273469660000/1260

LCM = 1804341000

Thus, we can understand that the LCM of 375,924,511,107,120 is 1804341000.

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

• LCM of 739, 213, 141, 144, 749
• LCM of 601, 748, 725, 922, 402
• LCM of 473, 817, 447, 904, 369
• LCM of 190, 900, 698, 356, 662
• LCM of 938, 358, 547, 629, 880

1. What is the LCM of 375, 924, 511, 107, 120?

Answer: LCM of 375, 924, 511, 107, 120 is 1804341000.

2. How to calculate the LCM of 375, 924, 511, 107, 120?

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 375, 924, 511, 107, 120.

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}.