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LCM of 856, 479, 169, 325, 774

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


Find the LCM of 856, 479, 169, 325, 774 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 856, 479, 169, 325, 774. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 856,479,169,325,774

Given numbers are 856,479,169,325,774

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

The LCM of 856,479,169,325,774 is 670419991800.

Find LCM of 856,479,169,325,774 with Prime Factorization


2 856, 479, 169, 325, 774
13 428, 479, 169, 325, 387
428, 479, 13, 25, 387

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

2 x 13 x 428 x 479 x 13 x 25 x 387 = 670419991800

Therefore, the lowest common multiple of 856,479,169,325,774 is 670419991800.

LCM Formula to Find Lowest Common Multiple of 856,479,169,325,774

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.

856 x 479 x 169 x 325 x 774 = 17430919786800

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.

856 : 1, 2, 4, 8, 107, 214, 428, 856

479 : 1, 479

169 : 1, 13, 169

325 : 1, 5, 13, 25, 65, 325

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 856,479,169,325,774, is 1.

Now, the common factors can be found like this.

856:2x 2x 2x 107

479:479

169:13x 13

325:5x 5x 13

774:2x 3x 3x 43

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 17430919786800/(1x26)

LCM = 17430919786800/26

LCM = 670419991800

Thus, we can understand that the LCM of 856,479,169,325,774 is 670419991800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 856, 479, 169, 325, 774

1. What is the LCM of 856, 479, 169, 325, 774?

Answer: LCM of 856, 479, 169, 325, 774 is 670419991800.

2. How to calculate the LCM of 856, 479, 169, 325, 774?

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 856, 479, 169, 325, 774.

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}.