Given numbers are 577,214,107

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

The LCM of 577,214,107 is 123478.

Find LCM of 577,214,107 with Prime Factorization

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

107 x 577 x 2 x 1 = 123478

Therefore, the lowest common multiple of 577,214,107 is 123478.

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 214 x 107 = 13212146

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

214 : 1, 2, 107, 214

107 : 1, 107

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 577,214,107, is 1.

Now, the common factors can be found like this.

577:577

214:2x 107

107:107

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

107 = 107

Therefore, the value for common factors is 107.

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 = 13212146/(1x107)

LCM = 13212146/107

LCM = 123478

Thus, we can understand that the LCM of 577,214,107 is 123478.

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

• LCM of 160, 356, 539
• LCM of 685, 578, 425
• LCM of 236, 572, 301
• LCM of 491, 647, 359
• LCM of 633, 308, 505

1. What is the LCM of 577, 214, 107?

Answer: LCM of 577, 214, 107 is 123478.

2. How to calculate the LCM of 577, 214, 107?

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, 214, 107.

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}.