Given numbers are 742,726,391,270,672

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

The LCM of 742,726,391,270,672 is 75826285920.

Find LCM of 742,726,391,270,672 with Prime Factorization

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

2 x 3 x 7 x 53 x 121 x 391 x 45 x 16 = 75826285920

Therefore, the lowest common multiple of 742,726,391,270,672 is 75826285920.

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.

742 x 726 x 391 x 270 x 672 = 38216448103680

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.

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

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

391 : 1, 17, 23, 391

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,726,391,270,672, is 1.

Now, the common factors can be found like this.

742:2x 7x 53

726:2x 3x 11x 11

391:17x 23

270:2x 3x 3x 3x 5

672:2x 2x 2x 2x 2x 3x 7

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 3x 3x 7 = 504

Therefore, the value for common factors is 504.

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 = 38216448103680/(1x504)

LCM = 38216448103680/504

LCM = 75826285920

Thus, we can understand that the LCM of 742,726,391,270,672 is 75826285920.

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

• LCM of 980, 931, 131, 327, 520
• LCM of 436, 581, 126, 885, 933
• LCM of 641, 749, 618, 124, 386
• LCM of 320, 687, 568, 906, 981
• LCM of 716, 273, 357, 364, 741

1. What is the LCM of 742, 726, 391, 270, 672?

Answer: LCM of 742, 726, 391, 270, 672 is 75826285920.

2. How to calculate the LCM of 742, 726, 391, 270, 672?

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 742, 726, 391, 270, 672.

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}.