Given numbers are 968,682,546,726,948

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

The LCM of 968,682,546,726,948 is 647182536.

Find LCM of 968,682,546,726,948 with Prime Factorization

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

2 x 2 x 3 x 11 x 11 x 2 x 31 x 91 x 1 x 79 = 647182536

Therefore, the lowest common multiple of 968,682,546,726,948 is 647182536.

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.

968 x 682 x 546 x 726 x 948 = 248083187159808

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.

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

682 : 1, 2, 11, 22, 31, 62, 341, 682

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 968,682,546,726,948, is 2.

Now, the common factors can be found like this.

968:2x 2x 2x 11x 11

682:2x 11x 31

546:2x 3x 7x 13

726:2x 3x 11x 11

948:2x 2x 3x 79

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 3x 3x 11x 11x 11 = 191664

Therefore, the value for common factors is 191664.

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 = 248083187159808/(2x191664)

LCM = 248083187159808/383328

LCM = 647182536

Thus, we can understand that the LCM of 968,682,546,726,948 is 647182536.

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

• LCM of 108, 932, 958, 702, 941
• LCM of 299, 352, 258, 918, 333
• LCM of 594, 189, 666, 596, 799
• LCM of 227, 893, 916, 984, 159
• LCM of 751, 803, 948, 943, 237

1. What is the LCM of 968, 682, 546, 726, 948?

Answer: LCM of 968, 682, 546, 726, 948 is 647182536.

2. How to calculate the LCM of 968, 682, 546, 726, 948?

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 968, 682, 546, 726, 948.

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}.