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LCM of 971, 806, 642, 916, 545

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


Find the LCM of 971, 806, 642, 916, 545 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 971, 806, 642, 916, 545. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 971,806,642,916,545

Given numbers are 971,806,642,916,545

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

The LCM of 971,806,642,916,545 is 62707759551060.

Find LCM of 971,806,642,916,545 with Prime Factorization


2 971, 806, 642, 916, 545
971, 403, 321, 458, 545

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

2 x 971 x 403 x 321 x 458 x 545 = 62707759551060

Therefore, the lowest common multiple of 971,806,642,916,545 is 62707759551060.

LCM Formula to Find Lowest Common Multiple of 971,806,642,916,545

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.

971 x 806 x 642 x 916 x 545 = 250831038204240

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.

971 : 1, 971

806 : 1, 2, 13, 26, 31, 62, 403, 806

642 : 1, 2, 3, 6, 107, 214, 321, 642

916 : 1, 2, 4, 229, 458, 916

545 : 1, 5, 109, 545

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 971,806,642,916,545, is 1.

Now, the common factors can be found like this.

971:971

806:2x 13x 31

642:2x 3x 107

916:2x 2x 229

545:5x 109

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 250831038204240/(1x4)

LCM = 250831038204240/4

LCM = 62707759551060

Thus, we can understand that the LCM of 971,806,642,916,545 is 62707759551060.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 971, 806, 642, 916, 545

1. What is the LCM of 971, 806, 642, 916, 545?

Answer: LCM of 971, 806, 642, 916, 545 is 62707759551060.

2. How to calculate the LCM of 971, 806, 642, 916, 545?

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 971, 806, 642, 916, 545.

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}.