Given numbers are 517,157,506,262

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

The LCM of 517,157,506,262 is 489124394.

Find LCM of 517,157,506,262 with Prime Factorization

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

2 x 11 x 47 x 157 x 23 x 131 = 489124394

Therefore, the lowest common multiple of 517,157,506,262 is 489124394.

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.

517 x 157 x 506 x 262 = 10760736668

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.

517 : 1, 11, 47, 517

157 : 1, 157

506 : 1, 2, 11, 22, 23, 46, 253, 506

262 : 1, 2, 131, 262

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,157,506,262, is 1.

Now, the common factors can be found like this.

517:11x 47

157:157

506:2x 11x 23

262:2x 131

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 10760736668/(1x22)

LCM = 10760736668/22

LCM = 489124394

Thus, we can understand that the LCM of 517,157,506,262 is 489124394.

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

• LCM of 471, 428, 695, 703
• LCM of 468, 558, 548, 854
• LCM of 836, 219, 506, 727
• LCM of 506, 175, 256, 112
• LCM of 850, 973, 740, 901

1. What is the LCM of 517, 157, 506, 262?

Answer: LCM of 517, 157, 506, 262 is 489124394.

2. How to calculate the LCM of 517, 157, 506, 262?

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 517, 157, 506, 262.

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}.