Given numbers are 313,336,206,288,980

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

The LCM of 313,336,206,288,980 is 2274783840.

Find LCM of 313,336,206,288,980 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 7 x 313 x 1 x 103 x 6 x 35 = 2274783840

Therefore, the lowest common multiple of 313,336,206,288,980 is 2274783840.

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.

313 x 336 x 206 x 288 x 980 = 6114618961920

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.

313 : 1, 313

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

206 : 1, 2, 103, 206

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 313,336,206,288,980, is 1.

Now, the common factors can be found like this.

313:313

336:2x 2x 2x 2x 3x 7

206:2x 103

288:2x 2x 2x 2x 2x 3x 3

980:2x 2x 5x 7x 7

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 2x 2x 2x 3x 7 = 2688

Therefore, the value for common factors is 2688.

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 = 6114618961920/(1x2688)

LCM = 6114618961920/2688

LCM = 2274783840

Thus, we can understand that the LCM of 313,336,206,288,980 is 2274783840.

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

• LCM of 888, 385, 854, 216, 321
• LCM of 251, 768, 361, 628, 315
• LCM of 821, 642, 495, 632, 209
• LCM of 855, 693, 785, 122, 997
• LCM of 630, 955, 187, 543, 461

1. What is the LCM of 313, 336, 206, 288, 980?

Answer: LCM of 313, 336, 206, 288, 980 is 2274783840.

2. How to calculate the LCM of 313, 336, 206, 288, 980?

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 313, 336, 206, 288, 980.

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}.