Given numbers are 277,528,864,279,357

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

The LCM of 277,528,864,279,357 is 9711690912.

Find LCM of 277,528,864,279,357 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 3 x 277 x 11 x 6 x 31 x 119 = 9711690912

Therefore, the lowest common multiple of 277,528,864,279,357 is 9711690912.

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.

277 x 528 x 864 x 279 x 357 = 12586351421952

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.

277 : 1, 277

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

279 : 1, 3, 9, 31, 93, 279

357 : 1, 3, 7, 17, 21, 51, 119, 357

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 277,528,864,279,357, is 1.

Now, the common factors can be found like this.

277:277

528:2x 2x 2x 2x 3x 11

864:2x 2x 2x 2x 2x 3x 3x 3

279:3x 3x 31

357:3x 7x 17

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 3x 3 = 1296

Therefore, the value for common factors is 1296.

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 = 12586351421952/(1x1296)

LCM = 12586351421952/1296

LCM = 9711690912

Thus, we can understand that the LCM of 277,528,864,279,357 is 9711690912.

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

• LCM of 704, 255, 454, 753, 393
• LCM of 374, 686, 414, 911, 525
• LCM of 687, 809, 950, 458, 380
• LCM of 478, 931, 598, 500, 107
• LCM of 773, 463, 230, 571, 986

1. What is the LCM of 277, 528, 864, 279, 357?

Answer: LCM of 277, 528, 864, 279, 357 is 9711690912.

2. How to calculate the LCM of 277, 528, 864, 279, 357?

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 277, 528, 864, 279, 357.

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}.