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LCM of 506, 409, 968, 506

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 506, 409, 968, 506 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 506, 409, 968, 506. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 506,409,968,506

Given numbers are 506,409,968,506

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

The LCM of 506,409,968,506 is 9105976.

Find LCM of 506,409,968,506 with Prime Factorization


2 506, 409, 968, 506
11 253, 409, 484, 253
23 23, 409, 44, 23
1, 409, 44, 1

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

2 x 11 x 23 x 1 x 409 x 44 x 1 = 9105976

Therefore, the lowest common multiple of 506,409,968,506 is 9105976.

LCM Formula to Find Lowest Common Multiple of 506,409,968,506

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.

506 x 409 x 968 x 506 = 101367724832

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.

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

409 : 1, 409

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,409,968,506, is 1.

Now, the common factors can be found like this.

506:2x 11x 23

409:409

968:2x 2x 2x 11x 11

506:2x 11x 23

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 11x 11x 23 = 11132

Therefore, the value for common factors is 11132.

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 = 101367724832/(1x11132)

LCM = 101367724832/11132

LCM = 9105976

Thus, we can understand that the LCM of 506,409,968,506 is 9105976.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 506, 409, 968, 506

1. What is the LCM of 506, 409, 968, 506?

Answer: LCM of 506, 409, 968, 506 is 9105976.

2. How to calculate the LCM of 506, 409, 968, 506?

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 506, 409, 968, 506.

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}.