Given numbers are 144,936,137,326,579

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

The LCM of 144,936,137,326,579 is 8068100976.

Find LCM of 144,936,137,326,579 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 2 x 13 x 137 x 163 x 193 = 8068100976

Therefore, the lowest common multiple of 144,936,137,326,579 is 8068100976.

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.

144 x 936 x 137 x 326 x 579 = 3485419621632

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.

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

137 : 1, 137

326 : 1, 2, 163, 326

579 : 1, 3, 193, 579

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 144,936,137,326,579, is 1.

Now, the common factors can be found like this.

144:2x 2x 2x 2x 3x 3

936:2x 2x 2x 3x 3x 13

137:137

326:2x 163

579:3x 193

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 3x 3x 3 = 432

Therefore, the value for common factors is 432.

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 = 3485419621632/(1x432)

LCM = 3485419621632/432

LCM = 8068100976

Thus, we can understand that the LCM of 144,936,137,326,579 is 8068100976.

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

• LCM of 581, 718, 990, 724, 254
• LCM of 646, 195, 482, 336, 783
• LCM of 286, 375, 621, 232, 130
• LCM of 347, 492, 435, 427, 930
• LCM of 740, 673, 156, 626, 103

1. What is the LCM of 144, 936, 137, 326, 579?

Answer: LCM of 144, 936, 137, 326, 579 is 8068100976.

2. How to calculate the LCM of 144, 936, 137, 326, 579?

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 144, 936, 137, 326, 579.

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}.