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LCM of 711, 664, 374, 240, 952

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


Find the LCM of 711, 664, 374, 240, 952 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 711, 664, 374, 240, 952. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 711,664,374,240,952

Given numbers are 711,664,374,240,952

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

The LCM of 711,664,374,240,952 is 6179841360.

Find LCM of 711,664,374,240,952 with Prime Factorization


2 711, 664, 374, 240, 952
2 711, 332, 187, 120, 476
2 711, 166, 187, 60, 238
3 711, 83, 187, 30, 119
17 237, 83, 187, 10, 119
237, 83, 11, 10, 7

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

2 x 2 x 2 x 3 x 17 x 237 x 83 x 11 x 10 x 7 = 6179841360

Therefore, the lowest common multiple of 711,664,374,240,952 is 6179841360.

LCM Formula to Find Lowest Common Multiple of 711,664,374,240,952

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.

711 x 664 x 374 x 240 x 952 = 40342004398080

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.

711 : 1, 3, 9, 79, 237, 711

664 : 1, 2, 4, 8, 83, 166, 332, 664

374 : 1, 2, 11, 17, 22, 34, 187, 374

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 711,664,374,240,952, is 1.

Now, the common factors can be found like this.

711:3x 3x 79

664:2x 2x 2x 83

374:2x 11x 17

240:2x 2x 2x 2x 3x 5

952:2x 2x 2x 7x 17

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 2x 2x 2x 2x 3x 17 = 6528

Therefore, the value for common factors is 6528.

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 = 40342004398080/(1x6528)

LCM = 40342004398080/6528

LCM = 6179841360

Thus, we can understand that the LCM of 711,664,374,240,952 is 6179841360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 711, 664, 374, 240, 952

1. What is the LCM of 711, 664, 374, 240, 952?

Answer: LCM of 711, 664, 374, 240, 952 is 6179841360.

2. How to calculate the LCM of 711, 664, 374, 240, 952?

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 711, 664, 374, 240, 952.

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}.