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LCM of 970, 679, 817, 512

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


Find the LCM of 970, 679, 817, 512 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 970, 679, 817, 512. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 970,679,817,512

Given numbers are 970,679,817,512

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

The LCM of 970,679,817,512 is 1420142080.

Find LCM of 970,679,817,512 with Prime Factorization


2 970, 679, 817, 512
97 485, 679, 817, 256
5, 7, 817, 256

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

2 x 97 x 5 x 7 x 817 x 256 = 1420142080

Therefore, the lowest common multiple of 970,679,817,512 is 1420142080.

LCM Formula to Find Lowest Common Multiple of 970,679,817,512

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.

970 x 679 x 817 x 512 = 275507563520

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.

970 : 1, 2, 5, 10, 97, 194, 485, 970

679 : 1, 7, 97, 679

817 : 1, 19, 43, 817

512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 970,679,817,512, is 1.

Now, the common factors can be found like this.

970:2x 5x 97

679:7x 97

817:19x 43

512:2x 2x 2x 2x 2x 2x 2x 2x 2

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

2x 97 = 194

Therefore, the value for common factors is 194.

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 = 275507563520/(1x194)

LCM = 275507563520/194

LCM = 1420142080

Thus, we can understand that the LCM of 970,679,817,512 is 1420142080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 970, 679, 817, 512

1. What is the LCM of 970, 679, 817, 512?

Answer: LCM of 970, 679, 817, 512 is 1420142080.

2. How to calculate the LCM of 970, 679, 817, 512?

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 970, 679, 817, 512.

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}.