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LCM of 961, 399, 532, 367

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


Find the LCM of 961, 399, 532, 367 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 961, 399, 532, 367. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 961,399,532,367

Given numbers are 961,399,532,367

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

The LCM of 961,399,532,367 is 562888452.

Find LCM of 961,399,532,367 with Prime Factorization


7 961, 399, 532, 367
19 961, 57, 76, 367
961, 3, 4, 367

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

7 x 19 x 961 x 3 x 4 x 367 = 562888452

Therefore, the lowest common multiple of 961,399,532,367 is 562888452.

LCM Formula to Find Lowest Common Multiple of 961,399,532,367

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.

961 x 399 x 532 x 367 = 74864164116

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.

961 : 1, 31, 961

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

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

367 : 1, 367

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 961,399,532,367, is 1.

Now, the common factors can be found like this.

961:31x 31

399:3x 7x 19

532:2x 2x 7x 19

367:367

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

7x 19 = 133

Therefore, the value for common factors is 133.

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 = 74864164116/(1x133)

LCM = 74864164116/133

LCM = 562888452

Thus, we can understand that the LCM of 961,399,532,367 is 562888452.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 961, 399, 532, 367

1. What is the LCM of 961, 399, 532, 367?

Answer: LCM of 961, 399, 532, 367 is 562888452.

2. How to calculate the LCM of 961, 399, 532, 367?

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 961, 399, 532, 367.

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}.