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LCM of 704, 971, 971, 543

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


Find the LCM of 704, 971, 971, 543 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 704, 971, 971, 543. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 704,971,971,543

Given numbers are 704,971,971,543

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

The LCM of 704,971,971,543 is 371186112.

Find LCM of 704,971,971,543 with Prime Factorization


971 704, 971, 971, 543
704, 1, 1, 543

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

971 x 704 x 1 x 1 x 543 = 371186112

Therefore, the lowest common multiple of 704,971,971,543 is 371186112.

LCM Formula to Find Lowest Common Multiple of 704,971,971,543

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.

704 x 971 x 971 x 543 = 360421714752

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.

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

971 : 1, 971

971 : 1, 971

543 : 1, 3, 181, 543

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 704,971,971,543, is 1.

Now, the common factors can be found like this.

704:2x 2x 2x 2x 2x 2x 11

971:971

971:971

543:3x 181

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 = 360421714752/(1x971)

LCM = 360421714752/971

LCM = 371186112

Thus, we can understand that the LCM of 704,971,971,543 is 371186112.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 704, 971, 971, 543

1. What is the LCM of 704, 971, 971, 543?

Answer: LCM of 704, 971, 971, 543 is 371186112.

2. How to calculate the LCM of 704, 971, 971, 543?

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 704, 971, 971, 543.

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}.