Given numbers are 756,921,894,936

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

The LCM of 756,921,894,936 is 899124408.

Find LCM of 756,921,894,936 with Prime Factorization

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

2 x 2 x 3 x 3 x 21 x 307 x 149 x 26 = 899124408

Therefore, the lowest common multiple of 756,921,894,936 is 899124408.

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.

756 x 921 x 894 x 936 = 582632616384

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.

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

921 : 1, 3, 307, 921

894 : 1, 2, 3, 6, 149, 298, 447, 894

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

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,921,894,936, is 3.

Now, the common factors can be found like this.

756:2x 2x 3x 3x 3x 7

921:3x 307

894:2x 3x 149

936:2x 2x 2x 3x 3x 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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 582632616384/(3x216)

LCM = 582632616384/648

LCM = 899124408

Thus, we can understand that the LCM of 756,921,894,936 is 899124408.

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

• LCM of 532, 208, 518, 988
• LCM of 762, 666, 108, 805
• LCM of 594, 927, 732, 366
• LCM of 504, 439, 452, 551
• LCM of 561, 632, 222, 710

1. What is the LCM of 756, 921, 894, 936?

Answer: LCM of 756, 921, 894, 936 is 899124408.

2. How to calculate the LCM of 756, 921, 894, 936?

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 756, 921, 894, 936.

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}.