Given numbers are 749,513,107,271

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

The LCM of 749,513,107,271 is 104128227.

Find LCM of 749,513,107,271 with Prime Factorization

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

107 x 7 x 513 x 1 x 271 = 104128227

Therefore, the lowest common multiple of 749,513,107,271 is 104128227.

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.

749 x 513 x 107 x 271 = 11141720289

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.

749 : 1, 7, 107, 749

513 : 1, 3, 9, 19, 27, 57, 171, 513

107 : 1, 107

271 : 1, 271

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,513,107,271, is 1.

Now, the common factors can be found like this.

749:7x 107

513:3x 3x 3x 19

107:107

271:271

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

107 = 107

Therefore, the value for common factors is 107.

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 = 11141720289/(1x107)

LCM = 11141720289/107

LCM = 104128227

Thus, we can understand that the LCM of 749,513,107,271 is 104128227.

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

• LCM of 298, 996, 877, 442
• LCM of 436, 697, 628, 643
• LCM of 591, 579, 552, 418
• LCM of 246, 372, 636, 654
• LCM of 547, 297, 983, 249

1. What is the LCM of 749, 513, 107, 271?

Answer: LCM of 749, 513, 107, 271 is 104128227.

2. How to calculate the LCM of 749, 513, 107, 271?

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 749, 513, 107, 271.

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}.