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LCM of 806, 210, 973, 377

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


Find the LCM of 806, 210, 973, 377 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 806, 210, 973, 377. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 806,210,973,377

Given numbers are 806,210,973,377

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

The LCM of 806,210,973,377 is 341143530.

Find LCM of 806,210,973,377 with Prime Factorization


2 806, 210, 973, 377
7 403, 105, 973, 377
13 403, 15, 139, 377
31, 15, 139, 29

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

2 x 7 x 13 x 31 x 15 x 139 x 29 = 341143530

Therefore, the lowest common multiple of 806,210,973,377 is 341143530.

LCM Formula to Find Lowest Common Multiple of 806,210,973,377

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.

806 x 210 x 973 x 377 = 62088122460

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.

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

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

973 : 1, 7, 139, 973

377 : 1, 13, 29, 377

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 806,210,973,377, is 1.

Now, the common factors can be found like this.

806:2x 13x 31

210:2x 3x 5x 7

973:7x 139

377:13x 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 7x 13 = 182

Therefore, the value for common factors is 182.

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 = 62088122460/(1x182)

LCM = 62088122460/182

LCM = 341143530

Thus, we can understand that the LCM of 806,210,973,377 is 341143530.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 806, 210, 973, 377

1. What is the LCM of 806, 210, 973, 377?

Answer: LCM of 806, 210, 973, 377 is 341143530.

2. How to calculate the LCM of 806, 210, 973, 377?

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 806, 210, 973, 377.

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}.