Given numbers are 977,114,533,138

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

The LCM of 977,114,533,138 is 1365382902.

Find LCM of 977,114,533,138 with Prime Factorization

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

2 x 3 x 977 x 19 x 533 x 23 = 1365382902

Therefore, the lowest common multiple of 977,114,533,138 is 1365382902.

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.

977 x 114 x 533 x 138 = 8192297412

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.

977 : 1, 977

114 : 1, 2, 3, 6, 19, 38, 57, 114

533 : 1, 13, 41, 533

138 : 1, 2, 3, 6, 23, 46, 69, 138

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 977,114,533,138, is 1.

Now, the common factors can be found like this.

977:977

114:2x 3x 19

533:13x 41

138:2x 3x 23

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 8192297412/(1x6)

LCM = 8192297412/6

LCM = 1365382902

Thus, we can understand that the LCM of 977,114,533,138 is 1365382902.

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

• LCM of 758, 318, 297, 980
• LCM of 116, 622, 700, 172
• LCM of 627, 155, 553, 672
• LCM of 617, 209, 716, 718
• LCM of 499, 238, 106, 448

1. What is the LCM of 977, 114, 533, 138?

Answer: LCM of 977, 114, 533, 138 is 1365382902.

2. How to calculate the LCM of 977, 114, 533, 138?

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 977, 114, 533, 138.

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}.