Given numbers are 936,700,970,656,268

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

The LCM of 936,700,970,656,268 is 87291968400.

Find LCM of 936,700,970,656,268 with Prime Factorization

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

2 x 2 x 2 x 5 x 117 x 35 x 97 x 82 x 67 = 87291968400

Therefore, the lowest common multiple of 936,700,970,656,268 is 87291968400.

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.

936 x 700 x 970 x 656 x 268 = 111733719552000

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.

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

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

970 : 1, 2, 5, 10, 97, 194, 485, 970

656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656

268 : 1, 2, 4, 67, 134, 268

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,700,970,656,268, is 2.

Now, the common factors can be found like this.

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

700:2x 2x 5x 5x 7

970:2x 5x 97

656:2x 2x 2x 2x 41

268:2x 2x 67

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 2x 2x 5 = 640

Therefore, the value for common factors is 640.

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 = 111733719552000/(2x640)

LCM = 111733719552000/1280

LCM = 87291968400

Thus, we can understand that the LCM of 936,700,970,656,268 is 87291968400.

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

• LCM of 279, 157, 904, 247, 882
• LCM of 885, 620, 344, 762, 941
• LCM of 339, 748, 262, 882, 824
• LCM of 290, 180, 955, 419, 806
• LCM of 973, 946, 669, 932, 335

1. What is the LCM of 936, 700, 970, 656, 268?

Answer: LCM of 936, 700, 970, 656, 268 is 87291968400.

2. How to calculate the LCM of 936, 700, 970, 656, 268?

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 936, 700, 970, 656, 268.

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}.