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LCM of 436, 871, 971, 971

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


Find the LCM of 436, 871, 971, 971 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 436, 871, 971, 971. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 436,871,971,971

Given numbers are 436,871,971,971

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

The LCM of 436,871,971,971 is 368743076.

Find LCM of 436,871,971,971 with Prime Factorization


971 436, 871, 971, 971
436, 871, 1, 1

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

971 x 436 x 871 x 1 x 1 = 368743076

Therefore, the lowest common multiple of 436,871,971,971 is 368743076.

LCM Formula to Find Lowest Common Multiple of 436,871,971,971

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.

436 x 871 x 971 x 971 = 358049526796

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.

436 : 1, 2, 4, 109, 218, 436

871 : 1, 13, 67, 871

971 : 1, 971

971 : 1, 971

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 436,871,971,971, is 1.

Now, the common factors can be found like this.

436:2x 2x 109

871:13x 67

971:971

971:971

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

971 = 971

Therefore, the value for common factors is 971.

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 = 358049526796/(1x971)

LCM = 358049526796/971

LCM = 368743076

Thus, we can understand that the LCM of 436,871,971,971 is 368743076.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 436, 871, 971, 971

1. What is the LCM of 436, 871, 971, 971?

Answer: LCM of 436, 871, 971, 971 is 368743076.

2. How to calculate the LCM of 436, 871, 971, 971?

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 436, 871, 971, 971.

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}.