Given numbers are 364,674,532,644

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

The LCM of 364,674,532,644 is 53605916.

Find LCM of 364,674,532,644 with Prime Factorization

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

2 x 2 x 7 x 13 x 337 x 19 x 23 = 53605916

Therefore, the lowest common multiple of 364,674,532,644 is 53605916.

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 674 x 532 x 644 = 84054076288

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

674 : 1, 2, 337, 674

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,674,532,644, is 2.

Now, the common factors can be found like this.

364:2x 2x 7x 13

674:2x 337

532:2x 2x 7x 19

644:2x 2x 7x 23

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 2x 2x 7x 7 = 784

Therefore, the value for common factors is 784.

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 = 84054076288/(2x784)

LCM = 84054076288/1568

LCM = 53605916

Thus, we can understand that the LCM of 364,674,532,644 is 53605916.

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

• LCM of 994, 956, 526, 362
• LCM of 222, 162, 909, 813
• LCM of 862, 299, 687, 964
• LCM of 188, 832, 666, 848
• LCM of 383, 949, 907, 156

1. What is the LCM of 364, 674, 532, 644?

Answer: LCM of 364, 674, 532, 644 is 53605916.

2. How to calculate the LCM of 364, 674, 532, 644?

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, 674, 532, 644.

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}.