Given numbers are 507,415,748,242

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

The LCM of 507,415,748,242 is 1731212340.

Find LCM of 507,415,748,242 with Prime Factorization

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

2 x 11 x 507 x 415 x 34 x 11 = 1731212340

Therefore, the lowest common multiple of 507,415,748,242 is 1731212340.

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.

507 x 415 x 748 x 242 = 38086671480

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.

507 : 1, 3, 13, 39, 169, 507

415 : 1, 5, 83, 415

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

242 : 1, 2, 11, 22, 121, 242

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,415,748,242, is 1.

Now, the common factors can be found like this.

507:3x 13x 13

415:5x 83

748:2x 2x 11x 17

242:2x 11x 11

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 38086671480/(1x22)

LCM = 38086671480/22

LCM = 1731212340

Thus, we can understand that the LCM of 507,415,748,242 is 1731212340.

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

• LCM of 920, 915, 746, 945
• LCM of 942, 105, 753, 907
• LCM of 165, 991, 813, 908
• LCM of 930, 195, 238, 728
• LCM of 130, 359, 975, 422

1. What is the LCM of 507, 415, 748, 242?

Answer: LCM of 507, 415, 748, 242 is 1731212340.

2. How to calculate the LCM of 507, 415, 748, 242?

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 507, 415, 748, 242.

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}.