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LCM of 853, 749, 461, 214

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


Find the LCM of 853, 749, 461, 214 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 853, 749, 461, 214. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 853,749,461,214

Given numbers are 853,749,461,214

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

The LCM of 853,749,461,214 is 589063034.

Find LCM of 853,749,461,214 with Prime Factorization


107 853, 749, 461, 214
853, 7, 461, 2

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

107 x 853 x 7 x 461 x 2 = 589063034

Therefore, the lowest common multiple of 853,749,461,214 is 589063034.

LCM Formula to Find Lowest Common Multiple of 853,749,461,214

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.

853 x 749 x 461 x 214 = 63029744638

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.

853 : 1, 853

749 : 1, 7, 107, 749

461 : 1, 461

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 853,749,461,214, is 1.

Now, the common factors can be found like this.

853:853

749:7x 107

461:461

214:2x 107

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

107 = 107

Therefore, the value for common factors is 107.

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 = 63029744638/(1x107)

LCM = 63029744638/107

LCM = 589063034

Thus, we can understand that the LCM of 853,749,461,214 is 589063034.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 853, 749, 461, 214

1. What is the LCM of 853, 749, 461, 214?

Answer: LCM of 853, 749, 461, 214 is 589063034.

2. How to calculate the LCM of 853, 749, 461, 214?

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 853, 749, 461, 214.

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}.