Given numbers are 747,701,655,205,490

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

The LCM of 747,701,655,205,490 is 1378128938130.

Find LCM of 747,701,655,205,490 with Prime Factorization

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

5 x 747 x 701 x 131 x 41 x 98 = 1378128938130

Therefore, the lowest common multiple of 747,701,655,205,490 is 1378128938130.

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.

747 x 701 x 655 x 205 x 490 = 34453223453250

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.

747 : 1, 3, 9, 83, 249, 747

701 : 1, 701

655 : 1, 5, 131, 655

205 : 1, 5, 41, 205

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 747,701,655,205,490, is 1.

Now, the common factors can be found like this.

747:3x 3x 83

701:701

655:5x 131

205:5x 41

490:2x 5x 7x 7

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

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 34453223453250/(1x25)

LCM = 34453223453250/25

LCM = 1378128938130

Thus, we can understand that the LCM of 747,701,655,205,490 is 1378128938130.

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

• LCM of 945, 648, 534, 346, 496
• LCM of 580, 730, 783, 832, 123
• LCM of 123, 946, 162, 268, 733
• LCM of 273, 800, 504, 664, 576
• LCM of 491, 453, 510, 195, 240

1. What is the LCM of 747, 701, 655, 205, 490?

Answer: LCM of 747, 701, 655, 205, 490 is 1378128938130.

2. How to calculate the LCM of 747, 701, 655, 205, 490?

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 747, 701, 655, 205, 490.

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}.