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LCM of 856, 334, 806, 107

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


Find the LCM of 856, 334, 806, 107 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, 334, 806, 107. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 856,334,806,107

Given numbers are 856,334,806,107

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

The LCM of 856,334,806,107 is 57609656.

Find LCM of 856,334,806,107 with Prime Factorization


2 856, 334, 806, 107
107 428, 167, 403, 107
4, 167, 403, 1

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

2 x 107 x 4 x 167 x 403 x 1 = 57609656

Therefore, the lowest common multiple of 856,334,806,107 is 57609656.

LCM Formula to Find Lowest Common Multiple of 856,334,806,107

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 334 x 806 x 107 = 24656932768

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

334 : 1, 2, 167, 334

806 : 1, 2, 13, 26, 31, 62, 403, 806

107 : 1, 107

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 856,334,806,107, is 1.

Now, the common factors can be found like this.

856:2x 2x 2x 107

334:2x 167

806:2x 13x 31

107:107

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 107 = 428

Therefore, the value for common factors is 428.

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 = 24656932768/(1x428)

LCM = 24656932768/428

LCM = 57609656

Thus, we can understand that the LCM of 856,334,806,107 is 57609656.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 856, 334, 806, 107

1. What is the LCM of 856, 334, 806, 107?

Answer: LCM of 856, 334, 806, 107 is 57609656.

2. How to calculate the LCM of 856, 334, 806, 107?

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, 334, 806, 107.

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}.