Given numbers are 870,242,457,279,274

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

The LCM of 870,242,457,279,274 is 612948996990.

Find LCM of 870,242,457,279,274 with Prime Factorization

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

2 x 3 x 145 x 121 x 457 x 93 x 137 = 612948996990

Therefore, the lowest common multiple of 870,242,457,279,274 is 612948996990.

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.

870 x 242 x 457 x 279 x 274 = 7355387963880

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.

870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

242 : 1, 2, 11, 22, 121, 242

457 : 1, 457

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

274 : 1, 2, 137, 274

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 870,242,457,279,274, is 1.

Now, the common factors can be found like this.

870:2x 3x 5x 29

242:2x 11x 11

457:457

279:3x 3x 31

274:2x 137

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 3 = 12

Therefore, the value for common factors is 12.

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 = 7355387963880/(1x12)

LCM = 7355387963880/12

LCM = 612948996990

Thus, we can understand that the LCM of 870,242,457,279,274 is 612948996990.

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

• LCM of 654, 155, 108, 325, 887
• LCM of 308, 932, 964, 215, 109
• LCM of 700, 443, 296, 912, 902
• LCM of 861, 678, 269, 805, 939
• LCM of 928, 443, 455, 527, 999

1. What is the LCM of 870, 242, 457, 279, 274?

Answer: LCM of 870, 242, 457, 279, 274 is 612948996990.

2. How to calculate the LCM of 870, 242, 457, 279, 274?

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 870, 242, 457, 279, 274.

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}.