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LCM of 969, 210, 956, 399

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


Find the LCM of 969, 210, 956, 399 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 969, 210, 956, 399. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 969,210,956,399

Given numbers are 969,210,956,399

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

The LCM of 969,210,956,399 is 32422740.

Find LCM of 969,210,956,399 with Prime Factorization


2 969, 210, 956, 399
3 969, 105, 478, 399
7 323, 35, 478, 133
19 323, 5, 478, 19
17, 5, 478, 1

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

2 x 3 x 7 x 19 x 17 x 5 x 478 x 1 = 32422740

Therefore, the lowest common multiple of 969,210,956,399 is 32422740.

LCM Formula to Find Lowest Common Multiple of 969,210,956,399

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.

969 x 210 x 956 x 399 = 77620039560

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.

969 : 1, 3, 17, 19, 51, 57, 323, 969

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

956 : 1, 2, 4, 239, 478, 956

399 : 1, 3, 7, 19, 21, 57, 133, 399

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 969,210,956,399, is 1.

Now, the common factors can be found like this.

969:3x 17x 19

210:2x 3x 5x 7

956:2x 2x 239

399:3x 7x 19

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

2x 3x 3x 7x 19 = 2394

Therefore, the value for common factors is 2394.

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 = 77620039560/(1x2394)

LCM = 77620039560/2394

LCM = 32422740

Thus, we can understand that the LCM of 969,210,956,399 is 32422740.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 969, 210, 956, 399

1. What is the LCM of 969, 210, 956, 399?

Answer: LCM of 969, 210, 956, 399 is 32422740.

2. How to calculate the LCM of 969, 210, 956, 399?

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 969, 210, 956, 399.

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}.