Given numbers are 506,935,638,248,962

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

The LCM of 506,935,638,248,962 is 74393364760.

Find LCM of 506,935,638,248,962 with Prime Factorization

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

2 x 11 x 23 x 85 x 29 x 124 x 481 = 74393364760

Therefore, the lowest common multiple of 506,935,638,248,962 is 74393364760.

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.

506 x 935 x 638 x 248 x 962 = 72012777087680

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.

506 : 1, 2, 11, 22, 23, 46, 253, 506

935 : 1, 5, 11, 17, 55, 85, 187, 935

638 : 1, 2, 11, 22, 29, 58, 319, 638

248 : 1, 2, 4, 8, 31, 62, 124, 248

962 : 1, 2, 13, 26, 37, 74, 481, 962

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,935,638,248,962, is 1.

Now, the common factors can be found like this.

506:2x 11x 23

935:5x 11x 17

638:2x 11x 29

248:2x 2x 2x 31

962:2x 13x 37

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 11x 11 = 968

Therefore, the value for common factors is 968.

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 = 72012777087680/(1x968)

LCM = 72012777087680/968

LCM = 74393364760

Thus, we can understand that the LCM of 506,935,638,248,962 is 74393364760.

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

• LCM of 727, 513, 870, 936, 402
• LCM of 618, 538, 868, 282, 186
• LCM of 915, 954, 172, 378, 433
• LCM of 921, 145, 890, 229, 738
• LCM of 566, 704, 630, 838, 642

1. What is the LCM of 506, 935, 638, 248, 962?

Answer: LCM of 506, 935, 638, 248, 962 is 74393364760.

2. How to calculate the LCM of 506, 935, 638, 248, 962?

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 506, 935, 638, 248, 962.

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}.