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LCM of 721, 154, 425, 968

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


Find the LCM of 721, 154, 425, 968 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 721, 154, 425, 968. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 721,154,425,968

Given numbers are 721,154,425,968

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

The LCM of 721,154,425,968 is 296619400.

Find LCM of 721,154,425,968 with Prime Factorization


2 721, 154, 425, 968
7 721, 77, 425, 484
11 103, 11, 425, 484
103, 1, 425, 44

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

2 x 7 x 11 x 103 x 1 x 425 x 44 = 296619400

Therefore, the lowest common multiple of 721,154,425,968 is 296619400.

LCM Formula to Find Lowest Common Multiple of 721,154,425,968

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.

721 x 154 x 425 x 968 = 45679387600

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.

721 : 1, 7, 103, 721

154 : 1, 2, 7, 11, 14, 22, 77, 154

425 : 1, 5, 17, 25, 85, 425

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 721,154,425,968, is 1.

Now, the common factors can be found like this.

721:7x 103

154:2x 7x 11

425:5x 5x 17

968:2x 2x 2x 11x 11

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

2x 7x 11 = 154

Therefore, the value for common factors is 154.

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 = 45679387600/(1x154)

LCM = 45679387600/154

LCM = 296619400

Thus, we can understand that the LCM of 721,154,425,968 is 296619400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 721, 154, 425, 968

1. What is the LCM of 721, 154, 425, 968?

Answer: LCM of 721, 154, 425, 968 is 296619400.

2. How to calculate the LCM of 721, 154, 425, 968?

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 721, 154, 425, 968.

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}.