Given numbers are 376,107,214,770

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

The LCM of 376,107,214,770 is 15489320.

Find LCM of 376,107,214,770 with Prime Factorization

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

2 x 107 x 188 x 1 x 1 x 385 = 15489320

Therefore, the lowest common multiple of 376,107,214,770 is 15489320.

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.

376 x 107 x 214 x 770 = 6629428960

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.

376 : 1, 2, 4, 8, 47, 94, 188, 376

107 : 1, 107

214 : 1, 2, 107, 214

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 376,107,214,770, is 1.

Now, the common factors can be found like this.

376:2x 2x 2x 47

107:107

214:2x 107

770:2x 5x 7x 11

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 107 = 428

Therefore, the value for common factors is 428.

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 = 6629428960/(1x428)

LCM = 6629428960/428

LCM = 15489320

Thus, we can understand that the LCM of 376,107,214,770 is 15489320.

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

• LCM of 497, 844, 343, 280
• LCM of 680, 241, 404, 732
• LCM of 837, 271, 684, 342
• LCM of 846, 406, 287, 826
• LCM of 372, 439, 596, 218

1. What is the LCM of 376, 107, 214, 770?

Answer: LCM of 376, 107, 214, 770 is 15489320.

2. How to calculate the LCM of 376, 107, 214, 770?

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 376, 107, 214, 770.

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}.