Given numbers are 975,981,277,218

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

The LCM of 975,981,277,218 is 176629050.

Find LCM of 975,981,277,218 with Prime Factorization

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

3 x 109 x 325 x 3 x 277 x 2 = 176629050

Therefore, the lowest common multiple of 975,981,277,218 is 176629050.

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.

975 x 981 x 277 x 218 = 57757699350

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.

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

981 : 1, 3, 9, 109, 327, 981

277 : 1, 277

218 : 1, 2, 109, 218

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 975,981,277,218, is 1.

Now, the common factors can be found like this.

975:3x 5x 5x 13

981:3x 3x 109

277:277

218:2x 109

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

3x 109 = 327

Therefore, the value for common factors is 327.

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 = 57757699350/(1x327)

LCM = 57757699350/327

LCM = 176629050

Thus, we can understand that the LCM of 975,981,277,218 is 176629050.

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

• LCM of 510, 185, 456, 412
• LCM of 988, 366, 234, 712
• LCM of 983, 924, 764, 527
• LCM of 288, 842, 559, 577
• LCM of 769, 200, 992, 740

1. What is the LCM of 975, 981, 277, 218?

Answer: LCM of 975, 981, 277, 218 is 176629050.

2. How to calculate the LCM of 975, 981, 277, 218?

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 975, 981, 277, 218.

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}.