Given numbers are 491,755,391,552,516

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

The LCM of 491,755,391,552,516 is 149583915960.

Find LCM of 491,755,391,552,516 with Prime Factorization

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

2 x 2 x 3 x 23 x 491 x 755 x 17 x 2 x 43 = 149583915960

Therefore, the lowest common multiple of 491,755,391,552,516 is 149583915960.

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.

491 x 755 x 391 x 552 x 516 = 41285160804960

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.

491 : 1, 491

755 : 1, 5, 151, 755

391 : 1, 17, 23, 391

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 491,755,391,552,516, is 1.

Now, the common factors can be found like this.

491:491

755:5x 151

391:17x 23

552:2x 2x 2x 3x 23

516:2x 2x 3x 43

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 3x 23 = 276

Therefore, the value for common factors is 276.

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 = 41285160804960/(1x276)

LCM = 41285160804960/276

LCM = 149583915960

Thus, we can understand that the LCM of 491,755,391,552,516 is 149583915960.

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

• LCM of 916, 417, 676, 325, 969
• LCM of 472, 577, 194, 109, 997
• LCM of 820, 780, 930, 950, 697
• LCM of 991, 931, 878, 180, 807
• LCM of 685, 758, 654, 120, 733

1. What is the LCM of 491, 755, 391, 552, 516?

Answer: LCM of 491, 755, 391, 552, 516 is 149583915960.

2. How to calculate the LCM of 491, 755, 391, 552, 516?

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 491, 755, 391, 552, 516.

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}.