Given numbers are 921,764,414,207,116

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

The LCM of 921,764,414,207,116 is 1407991644.

Find LCM of 921,764,414,207,116 with Prime Factorization

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

2 x 2 x 3 x 3 x 23 x 307 x 191 x 1 x 1 x 29 = 1407991644

Therefore, the lowest common multiple of 921,764,414,207,116 is 1407991644.

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.

921 x 764 x 414 x 207 x 116 = 6994902487392

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.

921 : 1, 3, 307, 921

764 : 1, 2, 4, 191, 382, 764

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

207 : 1, 3, 9, 23, 69, 207

116 : 1, 2, 4, 29, 58, 116

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 921,764,414,207,116, is 1.

Now, the common factors can be found like this.

921:3x 307

764:2x 2x 191

414:2x 3x 3x 23

207:3x 3x 23

116:2x 2x 29

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 3x 23 = 4968

Therefore, the value for common factors is 4968.

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 = 6994902487392/(1x4968)

LCM = 6994902487392/4968

LCM = 1407991644

Thus, we can understand that the LCM of 921,764,414,207,116 is 1407991644.

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

• LCM of 656, 787, 974, 489, 976
• LCM of 520, 644, 757, 544, 397
• LCM of 560, 871, 150, 323, 385
• LCM of 145, 186, 255, 800, 989
• LCM of 527, 568, 565, 386, 804

1. What is the LCM of 921, 764, 414, 207, 116?

Answer: LCM of 921, 764, 414, 207, 116 is 1407991644.

2. How to calculate the LCM of 921, 764, 414, 207, 116?

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 921, 764, 414, 207, 116.

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}.