Given numbers are 724,125,452,316,169

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

The LCM of 724,125,452,316,169 is 136534001500.

Find LCM of 724,125,452,316,169 with Prime Factorization

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

2 x 2 x 181 x 125 x 113 x 79 x 169 = 136534001500

Therefore, the lowest common multiple of 724,125,452,316,169 is 136534001500.

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.

724 x 125 x 452 x 316 x 169 = 2184544024000

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.

724 : 1, 2, 4, 181, 362, 724

125 : 1, 5, 25, 125

452 : 1, 2, 4, 113, 226, 452

316 : 1, 2, 4, 79, 158, 316

169 : 1, 13, 169

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,125,452,316,169, is 1.

Now, the common factors can be found like this.

724:2x 2x 181

125:5x 5x 5

452:2x 2x 113

316:2x 2x 79

169:13x 13

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 2 = 16

Therefore, the value for common factors is 16.

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 = 2184544024000/(1x16)

LCM = 2184544024000/16

LCM = 136534001500

Thus, we can understand that the LCM of 724,125,452,316,169 is 136534001500.

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

• LCM of 384, 281, 756, 109, 383
• LCM of 496, 642, 112, 981, 137
• LCM of 906, 172, 634, 657, 608
• LCM of 270, 613, 290, 837, 651
• LCM of 514, 519, 912, 780, 362

1. What is the LCM of 724, 125, 452, 316, 169?

Answer: LCM of 724, 125, 452, 316, 169 is 136534001500.

2. How to calculate the LCM of 724, 125, 452, 316, 169?

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 724, 125, 452, 316, 169.

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}.