Given numbers are 674,540,256,543,553

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

The LCM of 674,540,256,543,553 is 1165755144960.

Find LCM of 674,540,256,543,553 with Prime Factorization

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

2 x 2 x 3 x 337 x 45 x 64 x 181 x 553 = 1165755144960

Therefore, the lowest common multiple of 674,540,256,543,553 is 1165755144960.

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.

674 x 540 x 256 x 543 x 553 = 27978123479040

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.

674 : 1, 2, 337, 674

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

256 : 1, 2, 4, 8, 16, 32, 64, 128, 256

543 : 1, 3, 181, 543

553 : 1, 7, 79, 553

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 674,540,256,543,553, is 1.

Now, the common factors can be found like this.

674:2x 337

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

256:2x 2x 2x 2x 2x 2x 2x 2

543:3x 181

553:7x 79

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 3 = 24

Therefore, the value for common factors is 24.

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 = 27978123479040/(1x24)

LCM = 27978123479040/24

LCM = 1165755144960

Thus, we can understand that the LCM of 674,540,256,543,553 is 1165755144960.

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

• LCM of 521, 872, 725, 795, 924
• LCM of 668, 374, 156, 881, 764
• LCM of 956, 277, 598, 987, 321
• LCM of 644, 379, 928, 717, 798
• LCM of 160, 568, 955, 353, 643

1. What is the LCM of 674, 540, 256, 543, 553?

Answer: LCM of 674, 540, 256, 543, 553 is 1165755144960.

2. How to calculate the LCM of 674, 540, 256, 543, 553?

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 674, 540, 256, 543, 553.

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}.