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LCM of 877, 424, 237, 371, 458

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


Find the LCM of 877, 424, 237, 371, 458 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 877, 424, 237, 371, 458. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 877,424,237,371,458

Given numbers are 877,424,237,371,458

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

The LCM of 877,424,237,371,458 is 141269145528.

Find LCM of 877,424,237,371,458 with Prime Factorization


2 877, 424, 237, 371, 458
53 877, 212, 237, 371, 229
877, 4, 237, 7, 229

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

2 x 53 x 877 x 4 x 237 x 7 x 229 = 141269145528

Therefore, the lowest common multiple of 877,424,237,371,458 is 141269145528.

LCM Formula to Find Lowest Common Multiple of 877,424,237,371,458

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.

877 x 424 x 237 x 371 x 458 = 14974529425968

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.

877 : 1, 877

424 : 1, 2, 4, 8, 53, 106, 212, 424

237 : 1, 3, 79, 237

371 : 1, 7, 53, 371

458 : 1, 2, 229, 458

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 877,424,237,371,458, is 1.

Now, the common factors can be found like this.

877:877

424:2x 2x 2x 53

237:3x 79

371:7x 53

458:2x 229

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

2x 53 = 106

Therefore, the value for common factors is 106.

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 = 14974529425968/(1x106)

LCM = 14974529425968/106

LCM = 141269145528

Thus, we can understand that the LCM of 877,424,237,371,458 is 141269145528.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 877, 424, 237, 371, 458

1. What is the LCM of 877, 424, 237, 371, 458?

Answer: LCM of 877, 424, 237, 371, 458 is 141269145528.

2. How to calculate the LCM of 877, 424, 237, 371, 458?

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 877, 424, 237, 371, 458.

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}.