Given numbers are 577,314,684

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

The LCM of 577,314,684 is 61962876.

Find LCM of 577,314,684 with Prime Factorization

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

2 x 577 x 157 x 342 = 61962876

Therefore, the lowest common multiple of 577,314,684 is 61962876.

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.

577 x 314 x 684 = 123925752

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.

577 : 1, 577

314 : 1, 2, 157, 314

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 577,314,684, is 1.

Now, the common factors can be found like this.

577:577

314:2x 157

684:2x 2x 3x 3x 19

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 = 123925752/(1x2)

LCM = 123925752/2

LCM = 61962876

Thus, we can understand that the LCM of 577,314,684 is 61962876.

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

• LCM of 492, 608, 651
• LCM of 768, 171, 531
• LCM of 597, 492, 700
• LCM of 595, 393, 580
• LCM of 457, 192, 948

1. What is the LCM of 577, 314, 684?

Answer: LCM of 577, 314, 684 is 61962876.

2. How to calculate the LCM of 577, 314, 684?

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 577, 314, 684.

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}.