Given numbers are 745,724,762,182

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

The LCM of 745,724,762,182 is 18700843980.

Find LCM of 745,724,762,182 with Prime Factorization

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

2 x 745 x 362 x 381 x 91 = 18700843980

Therefore, the lowest common multiple of 745,724,762,182 is 18700843980.

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.

745 x 724 x 762 x 182 = 74803375920

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.

745 : 1, 5, 149, 745

724 : 1, 2, 4, 181, 362, 724

762 : 1, 2, 3, 6, 127, 254, 381, 762

182 : 1, 2, 7, 13, 14, 26, 91, 182

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 745,724,762,182, is 1.

Now, the common factors can be found like this.

745:5x 149

724:2x 2x 181

762:2x 3x 127

182:2x 7x 13

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 74803375920/(1x4)

LCM = 74803375920/4

LCM = 18700843980

Thus, we can understand that the LCM of 745,724,762,182 is 18700843980.

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

• LCM of 540, 876, 585, 488
• LCM of 756, 897, 177, 375
• LCM of 714, 306, 502, 258
• LCM of 771, 921, 178, 549
• LCM of 345, 765, 170, 962

1. What is the LCM of 745, 724, 762, 182?

Answer: LCM of 745, 724, 762, 182 is 18700843980.

2. How to calculate the LCM of 745, 724, 762, 182?

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 745, 724, 762, 182.

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}.