Given numbers are 364,767,749,841,407

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

The LCM of 364,767,749,841,407 is 786552250484.

Find LCM of 364,767,749,841,407 with Prime Factorization

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

7 x 13 x 4 x 59 x 107 x 841 x 407 = 786552250484

Therefore, the lowest common multiple of 364,767,749,841,407 is 786552250484.

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.

364 x 767 x 749 x 841 x 407 = 71576254794044

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.

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

767 : 1, 13, 59, 767

749 : 1, 7, 107, 749

841 : 1, 29, 841

407 : 1, 11, 37, 407

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,767,749,841,407, is 1.

Now, the common factors can be found like this.

364:2x 2x 7x 13

767:13x 59

749:7x 107

841:29x 29

407:11x 37

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

7x 13 = 91

Therefore, the value for common factors is 91.

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 = 71576254794044/(1x91)

LCM = 71576254794044/91

LCM = 786552250484

Thus, we can understand that the LCM of 364,767,749,841,407 is 786552250484.

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

• LCM of 161, 200, 959, 233, 579
• LCM of 472, 749, 404, 921, 942
• LCM of 483, 123, 634, 292, 174
• LCM of 128, 476, 285, 846, 762
• LCM of 946, 650, 154, 656, 720

1. What is the LCM of 364, 767, 749, 841, 407?

Answer: LCM of 364, 767, 749, 841, 407 is 786552250484.

2. How to calculate the LCM of 364, 767, 749, 841, 407?

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 364, 767, 749, 841, 407.

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}.