Given numbers are 577,132,268,316

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

The LCM of 577,132,268,316 is 403136052.

Find LCM of 577,132,268,316 with Prime Factorization

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

2 x 2 x 577 x 33 x 67 x 79 = 403136052

Therefore, the lowest common multiple of 577,132,268,316 is 403136052.

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 132 x 268 x 316 = 6450176832

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

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

268 : 1, 2, 4, 67, 134, 268

316 : 1, 2, 4, 79, 158, 316

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 577,132,268,316, is 1.

Now, the common factors can be found like this.

577:577

132:2x 2x 3x 11

268:2x 2x 67

316:2x 2x 79

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

2x 2x 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 6450176832/(1x16)

LCM = 6450176832/16

LCM = 403136052

Thus, we can understand that the LCM of 577,132,268,316 is 403136052.

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

• LCM of 538, 674, 323, 208
• LCM of 821, 573, 459, 624
• LCM of 515, 395, 279, 290
• LCM of 798, 505, 314, 959
• LCM of 506, 192, 966, 183

1. What is the LCM of 577, 132, 268, 316?

Answer: LCM of 577, 132, 268, 316 is 403136052.

2. How to calculate the LCM of 577, 132, 268, 316?

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, 132, 268, 316.

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}.