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LCM of 404, 899, 142, 348

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


Find the LCM of 404, 899, 142, 348 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 404, 899, 142, 348. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 404,899,142,348

Given numbers are 404,899,142,348

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

The LCM of 404,899,142,348 is 77360748.

Find LCM of 404,899,142,348 with Prime Factorization


2 404, 899, 142, 348
2 202, 899, 71, 174
29 101, 899, 71, 87
101, 31, 71, 3

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

2 x 2 x 29 x 101 x 31 x 71 x 3 = 77360748

Therefore, the lowest common multiple of 404,899,142,348 is 77360748.

LCM Formula to Find Lowest Common Multiple of 404,899,142,348

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.

404 x 899 x 142 x 348 = 17947693536

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.

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

899 : 1, 29, 31, 899

142 : 1, 2, 71, 142

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 404,899,142,348, is 1.

Now, the common factors can be found like this.

404:2x 2x 101

899:29x 31

142:2x 71

348:2x 2x 3x 29

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 29 = 232

Therefore, the value for common factors is 232.

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 = 17947693536/(1x232)

LCM = 17947693536/232

LCM = 77360748

Thus, we can understand that the LCM of 404,899,142,348 is 77360748.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 404, 899, 142, 348

1. What is the LCM of 404, 899, 142, 348?

Answer: LCM of 404, 899, 142, 348 is 77360748.

2. How to calculate the LCM of 404, 899, 142, 348?

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 404, 899, 142, 348.

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}.