Given numbers are 979,460,456,293

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

The LCM of 979,460,456,293 is 15042256680.

Find LCM of 979,460,456,293 with Prime Factorization

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

2 x 2 x 979 x 115 x 114 x 293 = 15042256680

Therefore, the lowest common multiple of 979,460,456,293 is 15042256680.

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.

979 x 460 x 456 x 293 = 60169026720

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.

979 : 1, 11, 89, 979

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

293 : 1, 293

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 979,460,456,293, is 1.

Now, the common factors can be found like this.

979:11x 89

460:2x 2x 5x 23

456:2x 2x 2x 3x 19

293:293

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 60169026720/(1x4)

LCM = 60169026720/4

LCM = 15042256680

Thus, we can understand that the LCM of 979,460,456,293 is 15042256680.

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

• LCM of 182, 132, 487, 221
• LCM of 851, 181, 384, 320
• LCM of 924, 604, 671, 223
• LCM of 754, 511, 604, 192
• LCM of 432, 336, 910, 745

1. What is the LCM of 979, 460, 456, 293?

Answer: LCM of 979, 460, 456, 293 is 15042256680.

2. How to calculate the LCM of 979, 460, 456, 293?

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 979, 460, 456, 293.

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}.