Given numbers are 742,676,491,271

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

The LCM of 742,676,491,271 is 33371166556.

Find LCM of 742,676,491,271 with Prime Factorization

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

2 x 371 x 338 x 491 x 271 = 33371166556

Therefore, the lowest common multiple of 742,676,491,271 is 33371166556.

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 676 x 491 x 271 = 66742333112

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

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

491 : 1, 491

271 : 1, 271

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,676,491,271, is 1.

Now, the common factors can be found like this.

742:2x 7x 53

676:2x 2x 13x 13

491:491

271:271

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

2 = 2

Therefore, the value for common factors is 2.

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 = 66742333112/(1x2)

LCM = 66742333112/2

LCM = 33371166556

Thus, we can understand that the LCM of 742,676,491,271 is 33371166556.

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

• LCM of 490, 162, 978, 984
• LCM of 124, 362, 232, 658
• LCM of 393, 302, 118, 100
• LCM of 934, 722, 696, 156
• LCM of 952, 370, 286, 976

1. What is the LCM of 742, 676, 491, 271?

Answer: LCM of 742, 676, 491, 271 is 33371166556.

2. How to calculate the LCM of 742, 676, 491, 271?

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, 676, 491, 271.

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}.