Given numbers are 579,746,936,348

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

The LCM of 579,746,936,348 is 1954069416.

Find LCM of 579,746,936,348 with Prime Factorization

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

2 x 2 x 3 x 193 x 373 x 78 x 29 = 1954069416

Therefore, the lowest common multiple of 579,746,936,348 is 1954069416.

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.

579 x 746 x 936 x 348 = 140692997952

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.

579 : 1, 3, 193, 579

746 : 1, 2, 373, 746

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 579,746,936,348, is 1.

Now, the common factors can be found like this.

579:3x 193

746:2x 373

936:2x 2x 2x 3x 3x 13

348:2x 2x 3x 29

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 140692997952/(1x72)

LCM = 140692997952/72

LCM = 1954069416

Thus, we can understand that the LCM of 579,746,936,348 is 1954069416.

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

• LCM of 973, 266, 799, 915
• LCM of 585, 883, 895, 883
• LCM of 928, 568, 242, 337
• LCM of 790, 922, 498, 681
• LCM of 123, 589, 605, 841

1. What is the LCM of 579, 746, 936, 348?

Answer: LCM of 579, 746, 936, 348 is 1954069416.

2. How to calculate the LCM of 579, 746, 936, 348?

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 579, 746, 936, 348.

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}.