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LCM of 506, 791, 314, 240

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


Find the LCM of 506, 791, 314, 240 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, 791, 314, 240. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 506,791,314,240

Given numbers are 506,791,314,240

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

The LCM of 506,791,314,240 is 7540634640.

Find LCM of 506,791,314,240 with Prime Factorization


2 506, 791, 314, 240
253, 791, 157, 120

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

2 x 253 x 791 x 157 x 120 = 7540634640

Therefore, the lowest common multiple of 506,791,314,240 is 7540634640.

LCM Formula to Find Lowest Common Multiple of 506,791,314,240

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 791 x 314 x 240 = 30162538560

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

791 : 1, 7, 113, 791

314 : 1, 2, 157, 314

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,791,314,240, is 1.

Now, the common factors can be found like this.

506:2x 11x 23

791:7x 113

314:2x 157

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

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 30162538560/(1x4)

LCM = 30162538560/4

LCM = 7540634640

Thus, we can understand that the LCM of 506,791,314,240 is 7540634640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 506, 791, 314, 240

1. What is the LCM of 506, 791, 314, 240?

Answer: LCM of 506, 791, 314, 240 is 7540634640.

2. How to calculate the LCM of 506, 791, 314, 240?

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, 791, 314, 240.

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}.