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LCM of 986, 652, 147, 326, 404

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


Find the LCM of 986, 652, 147, 326, 404 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 986, 652, 147, 326, 404. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 986,652,147,326,404

Given numbers are 986,652,147,326,404

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

The LCM of 986,652,147,326,404 is 4772360292.

Find LCM of 986,652,147,326,404 with Prime Factorization


2 986, 652, 147, 326, 404
2 493, 326, 147, 163, 202
163 493, 163, 147, 163, 101
493, 1, 147, 1, 101

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

2 x 2 x 163 x 493 x 1 x 147 x 1 x 101 = 4772360292

Therefore, the lowest common multiple of 986,652,147,326,404 is 4772360292.

LCM Formula to Find Lowest Common Multiple of 986,652,147,326,404

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.

986 x 652 x 147 x 326 x 404 = 12446315641536

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.

986 : 1, 2, 17, 29, 34, 58, 493, 986

652 : 1, 2, 4, 163, 326, 652

147 : 1, 3, 7, 21, 49, 147

326 : 1, 2, 163, 326

404 : 1, 2, 4, 101, 202, 404

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,652,147,326,404, is 1.

Now, the common factors can be found like this.

986:2x 17x 29

652:2x 2x 163

147:3x 7x 7

326:2x 163

404:2x 2x 101

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 163 = 2608

Therefore, the value for common factors is 2608.

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 = 12446315641536/(1x2608)

LCM = 12446315641536/2608

LCM = 4772360292

Thus, we can understand that the LCM of 986,652,147,326,404 is 4772360292.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 986, 652, 147, 326, 404

1. What is the LCM of 986, 652, 147, 326, 404?

Answer: LCM of 986, 652, 147, 326, 404 is 4772360292.

2. How to calculate the LCM of 986, 652, 147, 326, 404?

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 986, 652, 147, 326, 404.

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}.