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LCM of 852, 724, 908, 596

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


Find the LCM of 852, 724, 908, 596 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 852, 724, 908, 596. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 852,724,908,596

Given numbers are 852,724,908,596

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

The LCM of 852,724,908,596 is 5215912476.

Find LCM of 852,724,908,596 with Prime Factorization


2 852, 724, 908, 596
2 426, 362, 454, 298
213, 181, 227, 149

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

2 x 2 x 213 x 181 x 227 x 149 = 5215912476

Therefore, the lowest common multiple of 852,724,908,596 is 5215912476.

LCM Formula to Find Lowest Common Multiple of 852,724,908,596

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.

852 x 724 x 908 x 596 = 333818398464

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.

852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

724 : 1, 2, 4, 181, 362, 724

908 : 1, 2, 4, 227, 454, 908

596 : 1, 2, 4, 149, 298, 596

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 852,724,908,596, is 4.

Now, the common factors can be found like this.

852:2x 2x 3x 71

724:2x 2x 181

908:2x 2x 227

596:2x 2x 149

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 = 333818398464/(4x16)

LCM = 333818398464/64

LCM = 5215912476

Thus, we can understand that the LCM of 852,724,908,596 is 5215912476.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 852, 724, 908, 596

1. What is the LCM of 852, 724, 908, 596?

Answer: LCM of 852, 724, 908, 596 is 5215912476.

2. How to calculate the LCM of 852, 724, 908, 596?

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 852, 724, 908, 596.

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}.