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LCM of 820, 700, 954

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


Find the LCM of 820, 700, 954 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 820, 700, 954. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 820,700,954

Given numbers are 820,700,954

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

The LCM of 820,700,954 is 13689900.

Find LCM of 820,700,954 with Prime Factorization


2 820, 700, 954
2 410, 350, 477
5 205, 175, 477
41, 35, 477

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

2 x 2 x 5 x 41 x 35 x 477 = 13689900

Therefore, the lowest common multiple of 820,700,954 is 13689900.

LCM Formula to Find Lowest Common Multiple of 820,700,954

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.

820 x 700 x 954 = 547596000

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.

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

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 820,700,954, is 2.

Now, the common factors can be found like this.

820:2x 2x 5x 41

700:2x 2x 5x 5x 7

954:2x 3x 3x 53

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 5 = 20

Therefore, the value for common factors is 20.

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 = 547596000/(2x20)

LCM = 547596000/40

LCM = 13689900

Thus, we can understand that the LCM of 820,700,954 is 13689900.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 820, 700, 954

1. What is the LCM of 820, 700, 954?

Answer: LCM of 820, 700, 954 is 13689900.

2. How to calculate the LCM of 820, 700, 954?

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 820, 700, 954.

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}.