Given numbers are 210,102,213,249,976

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

The LCM of 210,102,213,249,976 is 10266548880.

Find LCM of 210,102,213,249,976 with Prime Factorization

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

2 x 3 x 35 x 17 x 71 x 83 x 488 = 10266548880

Therefore, the lowest common multiple of 210,102,213,249,976 is 10266548880.

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.

210 x 102 x 213 x 249 x 976 = 1108787279040

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.

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

102 : 1, 2, 3, 6, 17, 34, 51, 102

213 : 1, 3, 71, 213

249 : 1, 3, 83, 249

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 210,102,213,249,976, is 1.

Now, the common factors can be found like this.

210:2x 3x 5x 7

102:2x 3x 17

213:3x 71

249:3x 83

976:2x 2x 2x 2x 61

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 1108787279040/(1x108)

LCM = 1108787279040/108

LCM = 10266548880

Thus, we can understand that the LCM of 210,102,213,249,976 is 10266548880.

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

• LCM of 886, 548, 332, 539, 747
• LCM of 322, 309, 357, 660, 264
• LCM of 649, 367, 684, 215, 426
• LCM of 462, 360, 547, 469, 716
• LCM of 988, 494, 309, 883, 945

1. What is the LCM of 210, 102, 213, 249, 976?

Answer: LCM of 210, 102, 213, 249, 976 is 10266548880.

2. How to calculate the LCM of 210, 102, 213, 249, 976?

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 210, 102, 213, 249, 976.

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}.