Given numbers are 744,540,292,552

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

The LCM of 744,540,292,552 is 56212920.

Find LCM of 744,540,292,552 with Prime Factorization

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

2 x 2 x 2 x 3 x 31 x 45 x 73 x 23 = 56212920

Therefore, the lowest common multiple of 744,540,292,552 is 56212920.

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.

744 x 540 x 292 x 552 = 64757283840

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.

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

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

292 : 1, 2, 4, 73, 146, 292

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 744,540,292,552, is 4.

Now, the common factors can be found like this.

744:2x 2x 2x 3x 31

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

292:2x 2x 73

552:2x 2x 2x 3x 23

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 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 64757283840/(4x288)

LCM = 64757283840/1152

LCM = 56212920

Thus, we can understand that the LCM of 744,540,292,552 is 56212920.

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

• LCM of 114, 263, 931, 149
• LCM of 548, 820, 627, 411
• LCM of 923, 631, 832, 332
• LCM of 695, 404, 819, 469
• LCM of 329, 976, 946, 581

1. What is the LCM of 744, 540, 292, 552?

Answer: LCM of 744, 540, 292, 552 is 56212920.

2. How to calculate the LCM of 744, 540, 292, 552?

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 744, 540, 292, 552.

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}.