Given numbers are 279,248,521,577

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

The LCM of 279,248,521,577 is 670977144.

Find LCM of 279,248,521,577 with Prime Factorization

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

31 x 9 x 8 x 521 x 577 = 670977144

Therefore, the lowest common multiple of 279,248,521,577 is 670977144.

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 248 x 521 x 577 = 20800291464

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

248 : 1, 2, 4, 8, 31, 62, 124, 248

521 : 1, 521

577 : 1, 577

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 279,248,521,577, is 1.

Now, the common factors can be found like this.

279:3x 3x 31

248:2x 2x 2x 31

521:521

577:577

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

31 = 31

Therefore, the value for common factors is 31.

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 = 20800291464/(1x31)

LCM = 20800291464/31

LCM = 670977144

Thus, we can understand that the LCM of 279,248,521,577 is 670977144.

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

• LCM of 134, 208, 360, 635
• LCM of 947, 777, 212, 968
• LCM of 347, 157, 867, 466
• LCM of 463, 423, 610, 568
• LCM of 142, 354, 994, 435

1. What is the LCM of 279, 248, 521, 577?

Answer: LCM of 279, 248, 521, 577 is 670977144.

2. How to calculate the LCM of 279, 248, 521, 577?

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, 248, 521, 577.

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}.