Given numbers are 920,936,234,349,326

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

The LCM of 920,936,234,349,326 is 6123316680.

Find LCM of 920,936,234,349,326 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 13 x 115 x 1 x 1 x 349 x 163 = 6123316680

Therefore, the lowest common multiple of 920,936,234,349,326 is 6123316680.

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.

920 x 936 x 234 x 349 x 326 = 22925697649920

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.

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

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

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

349 : 1, 349

326 : 1, 2, 163, 326

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 920,936,234,349,326, is 1.

Now, the common factors can be found like this.

920:2x 2x 2x 5x 23

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

234:2x 3x 3x 13

349:349

326:2x 163

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 3x 13 = 3744

Therefore, the value for common factors is 3744.

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 = 22925697649920/(1x3744)

LCM = 22925697649920/3744

LCM = 6123316680

Thus, we can understand that the LCM of 920,936,234,349,326 is 6123316680.

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

• LCM of 711, 109, 641, 379, 156
• LCM of 664, 281, 284, 730, 810
• LCM of 551, 825, 716, 583, 467
• LCM of 843, 364, 249, 166, 744
• LCM of 614, 520, 318, 546, 511

1. What is the LCM of 920, 936, 234, 349, 326?

Answer: LCM of 920, 936, 234, 349, 326 is 6123316680.

2. How to calculate the LCM of 920, 936, 234, 349, 326?

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 920, 936, 234, 349, 326.

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}.