Given numbers are 748,473,118,302

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

The LCM of 748,473,118,302 is 286549076.

Find LCM of 748,473,118,302 with Prime Factorization

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

2 x 11 x 34 x 43 x 59 x 151 = 286549076

Therefore, the lowest common multiple of 748,473,118,302 is 286549076.

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.

748 x 473 x 118 x 302 = 12608159344

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.

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

473 : 1, 11, 43, 473

118 : 1, 2, 59, 118

302 : 1, 2, 151, 302

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,473,118,302, is 1.

Now, the common factors can be found like this.

748:2x 2x 11x 17

473:11x 43

118:2x 59

302:2x 151

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 11 = 44

Therefore, the value for common factors is 44.

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 = 12608159344/(1x44)

LCM = 12608159344/44

LCM = 286549076

Thus, we can understand that the LCM of 748,473,118,302 is 286549076.

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

• LCM of 873, 638, 113, 570
• LCM of 947, 735, 723, 835
• LCM of 404, 134, 537, 653
• LCM of 739, 522, 480, 629
• LCM of 435, 466, 193, 621

1. What is the LCM of 748, 473, 118, 302?

Answer: LCM of 748, 473, 118, 302 is 286549076.

2. How to calculate the LCM of 748, 473, 118, 302?

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 748, 473, 118, 302.

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}.