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LCM of 877, 374, 492, 258, 922

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


Find the LCM of 877, 374, 492, 258, 922 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, 374, 492, 258, 922. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 877,374,492,258,922

Given numbers are 877,374,492,258,922

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

The LCM of 877,374,492,258,922 is 1599468471084.

Find LCM of 877,374,492,258,922 with Prime Factorization


2 877, 374, 492, 258, 922
3 877, 187, 246, 129, 461
877, 187, 82, 43, 461

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

2 x 3 x 877 x 187 x 82 x 43 x 461 = 1599468471084

Therefore, the lowest common multiple of 877,374,492,258,922 is 1599468471084.

LCM Formula to Find Lowest Common Multiple of 877,374,492,258,922

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 374 x 492 x 258 x 922 = 38387243306016

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

374 : 1, 2, 11, 17, 22, 34, 187, 374

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

258 : 1, 2, 3, 6, 43, 86, 129, 258

922 : 1, 2, 461, 922

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 877,374,492,258,922, is 1.

Now, the common factors can be found like this.

877:877

374:2x 11x 17

492:2x 2x 3x 41

258:2x 3x 43

922:2x 461

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 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 38387243306016/(1x24)

LCM = 38387243306016/24

LCM = 1599468471084

Thus, we can understand that the LCM of 877,374,492,258,922 is 1599468471084.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 877, 374, 492, 258, 922

1. What is the LCM of 877, 374, 492, 258, 922?

Answer: LCM of 877, 374, 492, 258, 922 is 1599468471084.

2. How to calculate the LCM of 877, 374, 492, 258, 922?

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, 374, 492, 258, 922.

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}.