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LCM of 358, 392, 919, 821

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


Find the LCM of 358, 392, 919, 821 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 358, 392, 919, 821. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 358,392,919,821

Given numbers are 358,392,919,821

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

The LCM of 358,392,919,821 is 52941685832.

Find LCM of 358,392,919,821 with Prime Factorization


2 358, 392, 919, 821
179, 196, 919, 821

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

2 x 179 x 196 x 919 x 821 = 52941685832

Therefore, the lowest common multiple of 358,392,919,821 is 52941685832.

LCM Formula to Find Lowest Common Multiple of 358,392,919,821

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.

358 x 392 x 919 x 821 = 105883371664

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.

358 : 1, 2, 179, 358

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

919 : 1, 919

821 : 1, 821

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 358,392,919,821, is 1.

Now, the common factors can be found like this.

358:2x 179

392:2x 2x 2x 7x 7

919:919

821:821

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

2 = 2

Therefore, the value for common factors is 2.

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 = 105883371664/(1x2)

LCM = 105883371664/2

LCM = 52941685832

Thus, we can understand that the LCM of 358,392,919,821 is 52941685832.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 358, 392, 919, 821

1. What is the LCM of 358, 392, 919, 821?

Answer: LCM of 358, 392, 919, 821 is 52941685832.

2. How to calculate the LCM of 358, 392, 919, 821?

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 358, 392, 919, 821.

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}.