Given numbers are 916,119,538,336,644

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

The LCM of 916,119,538,336,644 is 8092892976.

Find LCM of 916,119,538,336,644 with Prime Factorization

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

2 x 2 x 7 x 229 x 17 x 269 x 12 x 23 = 8092892976

Therefore, the lowest common multiple of 916,119,538,336,644 is 8092892976.

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.

916 x 119 x 538 x 336 x 644 = 12689656186368

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.

916 : 1, 2, 4, 229, 458, 916

119 : 1, 7, 17, 119

538 : 1, 2, 269, 538

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 916,119,538,336,644, is 1.

Now, the common factors can be found like this.

916:2x 2x 229

119:7x 17

538:2x 269

336:2x 2x 2x 2x 3x 7

644:2x 2x 7x 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 7x 7 = 1568

Therefore, the value for common factors is 1568.

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 = 12689656186368/(1x1568)

LCM = 12689656186368/1568

LCM = 8092892976

Thus, we can understand that the LCM of 916,119,538,336,644 is 8092892976.

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

• LCM of 828, 957, 784, 636, 408
• LCM of 355, 337, 995, 669, 710
• LCM of 383, 292, 389, 365, 202
• LCM of 502, 401, 762, 218, 508
• LCM of 103, 626, 457, 936, 649

1. What is the LCM of 916, 119, 538, 336, 644?

Answer: LCM of 916, 119, 538, 336, 644 is 8092892976.

2. How to calculate the LCM of 916, 119, 538, 336, 644?

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 916, 119, 538, 336, 644.

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}.