Given numbers are 461,247,314,508

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

The LCM of 461,247,314,508 is 9081576452.

Find LCM of 461,247,314,508 with Prime Factorization

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

2 x 461 x 247 x 157 x 254 = 9081576452

Therefore, the lowest common multiple of 461,247,314,508 is 9081576452.

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.

461 x 247 x 314 x 508 = 18163152904

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.

461 : 1, 461

247 : 1, 13, 19, 247

314 : 1, 2, 157, 314

508 : 1, 2, 4, 127, 254, 508

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,247,314,508, is 1.

Now, the common factors can be found like this.

461:461

247:13x 19

314:2x 157

508:2x 2x 127

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

2 = 2

Therefore, the value for common factors is 2.

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 = 18163152904/(1x2)

LCM = 18163152904/2

LCM = 9081576452

Thus, we can understand that the LCM of 461,247,314,508 is 9081576452.

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

• LCM of 854, 257, 727, 955
• LCM of 848, 916, 670, 315
• LCM of 200, 884, 675, 144
• LCM of 887, 969, 237, 786
• LCM of 962, 918, 508, 959

1. What is the LCM of 461, 247, 314, 508?

Answer: LCM of 461, 247, 314, 508 is 9081576452.

2. How to calculate the LCM of 461, 247, 314, 508?

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 461, 247, 314, 508.

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}.