Given numbers are 709,128,564,199,240

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

The LCM of 709,128,564,199,240 is 12732051840.

Find LCM of 709,128,564,199,240 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 709 x 8 x 47 x 199 x 5 = 12732051840

Therefore, the lowest common multiple of 709,128,564,199,240 is 12732051840.

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.

709 x 128 x 564 x 199 x 240 = 2444553953280

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.

709 : 1, 709

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

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

199 : 1, 199

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 709,128,564,199,240, is 1.

Now, the common factors can be found like this.

709:709

128:2x 2x 2x 2x 2x 2x 2

564:2x 2x 3x 47

199:199

240:2x 2x 2x 2x 3x 5

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 2x 3 = 192

Therefore, the value for common factors is 192.

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 = 2444553953280/(1x192)

LCM = 2444553953280/192

LCM = 12732051840

Thus, we can understand that the LCM of 709,128,564,199,240 is 12732051840.

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

• LCM of 918, 183, 830, 833, 989
• LCM of 997, 610, 257, 813, 697
• LCM of 535, 753, 815, 711, 504
• LCM of 895, 738, 197, 557, 970
• LCM of 900, 786, 428, 739, 382

1. What is the LCM of 709, 128, 564, 199, 240?

Answer: LCM of 709, 128, 564, 199, 240 is 12732051840.

2. How to calculate the LCM of 709, 128, 564, 199, 240?

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 709, 128, 564, 199, 240.

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}.