Given numbers are 540,403,988,748,742

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

The LCM of 540,403,988,748,742 is 286858632060.

Find LCM of 540,403,988,748,742 with Prime Factorization

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

2 x 2 x 13 x 135 x 31 x 19 x 187 x 371 = 286858632060

Therefore, the lowest common multiple of 540,403,988,748,742 is 286858632060.

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.

540 x 403 x 988 x 748 x 742 = 119333190936960

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.

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

403 : 1, 13, 31, 403

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

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

742 : 1, 2, 7, 14, 53, 106, 371, 742

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,403,988,748,742, is 1.

Now, the common factors can be found like this.

540:2x 2x 3x 3x 3x 5

403:13x 31

988:2x 2x 13x 19

748:2x 2x 11x 17

742:2x 7x 53

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 2x 2x 2x 13 = 416

Therefore, the value for common factors is 416.

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 = 119333190936960/(1x416)

LCM = 119333190936960/416

LCM = 286858632060

Thus, we can understand that the LCM of 540,403,988,748,742 is 286858632060.

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

• LCM of 776, 467, 836, 380, 191
• LCM of 161, 531, 972, 552, 767
• LCM of 383, 271, 552, 722, 817
• LCM of 977, 177, 915, 444, 790
• LCM of 465, 595, 833, 745, 676

1. What is the LCM of 540, 403, 988, 748, 742?

Answer: LCM of 540, 403, 988, 748, 742 is 286858632060.

2. How to calculate the LCM of 540, 403, 988, 748, 742?

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 540, 403, 988, 748, 742.

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}.