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LCM of 970, 574, 601, 820

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


Find the LCM of 970, 574, 601, 820 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, 574, 601, 820. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 970,574,601,820

Given numbers are 970,574,601,820

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

The LCM of 970,574,601,820 is 334624780.

Find LCM of 970,574,601,820 with Prime Factorization


2 970, 574, 601, 820
5 485, 287, 601, 410
41 97, 287, 601, 82
97, 7, 601, 2

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

2 x 5 x 41 x 97 x 7 x 601 x 2 = 334624780

Therefore, the lowest common multiple of 970,574,601,820 is 334624780.

LCM Formula to Find Lowest Common Multiple of 970,574,601,820

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 574 x 601 x 820 = 274392319600

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

574 : 1, 2, 7, 14, 41, 82, 287, 574

601 : 1, 601

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 970,574,601,820, is 1.

Now, the common factors can be found like this.

970:2x 5x 97

574:2x 7x 41

601:601

820:2x 2x 5x 41

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 5x 41 = 820

Therefore, the value for common factors is 820.

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 = 274392319600/(1x820)

LCM = 274392319600/820

LCM = 334624780

Thus, we can understand that the LCM of 970,574,601,820 is 334624780.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 970, 574, 601, 820

1. What is the LCM of 970, 574, 601, 820?

Answer: LCM of 970, 574, 601, 820 is 334624780.

2. How to calculate the LCM of 970, 574, 601, 820?

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, 574, 601, 820.

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}.