LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 768, 971, 640, 584, 464

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


Find the LCM of 768, 971, 640, 584, 464 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 768, 971, 640, 584, 464. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 768,971,640,584,464

Given numbers are 768,971,640,584,464

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

The LCM of 768,971,640,584,464 is 7893530880.

Find LCM of 768,971,640,584,464 with Prime Factorization


2 768, 971, 640, 584, 464
2 384, 971, 320, 292, 232
2 192, 971, 160, 146, 116
2 96, 971, 80, 73, 58
2 48, 971, 40, 73, 29
2 24, 971, 20, 73, 29
2 12, 971, 10, 73, 29
6, 971, 5, 73, 29

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

2 x 2 x 2 x 2 x 2 x 2 x 2 x 6 x 971 x 5 x 73 x 29 = 7893530880

Therefore, the lowest common multiple of 768,971,640,584,464 is 7893530880.

LCM Formula to Find Lowest Common Multiple of 768,971,640,584,464

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.

768 x 971 x 640 x 584 x 464 = 129327609937920

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.

768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

971 : 1, 971

640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

584 : 1, 2, 4, 8, 73, 146, 292, 584

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 768,971,640,584,464, is 1.

Now, the common factors can be found like this.

768:2x 2x 2x 2x 2x 2x 2x 2x 3

971:971

640:2x 2x 2x 2x 2x 2x 2x 5

584:2x 2x 2x 73

464:2x 2x 2x 2x 29

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 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2 = 16384

Therefore, the value for common factors is 16384.

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 = 129327609937920/(1x16384)

LCM = 129327609937920/16384

LCM = 7893530880

Thus, we can understand that the LCM of 768,971,640,584,464 is 7893530880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 768, 971, 640, 584, 464

1. What is the LCM of 768, 971, 640, 584, 464?

Answer: LCM of 768, 971, 640, 584, 464 is 7893530880.

2. How to calculate the LCM of 768, 971, 640, 584, 464?

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 768, 971, 640, 584, 464.

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}.