Given numbers are 279,341,502,217

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

The LCM of 279,341,502,217 is 10784466.

Find LCM of 279,341,502,217 with Prime Factorization

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

31 x 9 x 11 x 502 x 7 = 10784466

Therefore, the lowest common multiple of 279,341,502,217 is 10784466.

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.

279 x 341 x 502 x 217 = 10363871826

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.

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

341 : 1, 11, 31, 341

502 : 1, 2, 251, 502

217 : 1, 7, 31, 217

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 279,341,502,217, is 1.

Now, the common factors can be found like this.

279:3x 3x 31

341:11x 31

502:2x 251

217:7x 31

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

31x 31 = 961

Therefore, the value for common factors is 961.

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 = 10363871826/(1x961)

LCM = 10363871826/961

LCM = 10784466

Thus, we can understand that the LCM of 279,341,502,217 is 10784466.

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

• LCM of 904, 716, 371, 567
• LCM of 505, 576, 914, 487
• LCM of 567, 880, 464, 301
• LCM of 955, 575, 148, 284
• LCM of 122, 644, 382, 856

1. What is the LCM of 279, 341, 502, 217?

Answer: LCM of 279, 341, 502, 217 is 10784466.

2. How to calculate the LCM of 279, 341, 502, 217?

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 279, 341, 502, 217.

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}.