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LCM of 851, 549, 334, 826

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


Find the LCM of 851, 549, 334, 826 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 851, 549, 334, 826. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 851,549,334,826

Given numbers are 851,549,334,826

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

The LCM of 851,549,334,826 is 64446364458.

Find LCM of 851,549,334,826 with Prime Factorization


2 851, 549, 334, 826
851, 549, 167, 413

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

2 x 851 x 549 x 167 x 413 = 64446364458

Therefore, the lowest common multiple of 851,549,334,826 is 64446364458.

LCM Formula to Find Lowest Common Multiple of 851,549,334,826

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.

851 x 549 x 334 x 826 = 128892728916

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.

851 : 1, 23, 37, 851

549 : 1, 3, 9, 61, 183, 549

334 : 1, 2, 167, 334

826 : 1, 2, 7, 14, 59, 118, 413, 826

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 851,549,334,826, is 1.

Now, the common factors can be found like this.

851:23x 37

549:3x 3x 61

334:2x 167

826:2x 7x 59

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 = 128892728916/(1x2)

LCM = 128892728916/2

LCM = 64446364458

Thus, we can understand that the LCM of 851,549,334,826 is 64446364458.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 851, 549, 334, 826

1. What is the LCM of 851, 549, 334, 826?

Answer: LCM of 851, 549, 334, 826 is 64446364458.

2. How to calculate the LCM of 851, 549, 334, 826?

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 851, 549, 334, 826.

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}.