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LCM of 961, 728, 532, 868

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


Find the LCM of 961, 728, 532, 868 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, 728, 532, 868. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 961,728,532,868

Given numbers are 961,728,532,868

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

The LCM of 961,728,532,868 is 13292552.

Find LCM of 961,728,532,868 with Prime Factorization


2 961, 728, 532, 868
2 961, 364, 266, 434
7 961, 182, 133, 217
31 961, 26, 19, 31
1, 26, 19, 31

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

2 x 2 x 7 x 31 x 1 x 26 x 19 x 31 = 13292552

Therefore, the lowest common multiple of 961,728,532,868 is 13292552.

LCM Formula to Find Lowest Common Multiple of 961,728,532,868

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 728 x 532 x 868 = 323062183808

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

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

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

868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 961,728,532,868, is 1.

Now, the common factors can be found like this.

961:31x 31

728:2x 2x 2x 7x 13

532:2x 2x 7x 19

868:2x 2x 7x 31

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 2x 2x 7x 7x 31 = 24304

Therefore, the value for common factors is 24304.

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 = 323062183808/(1x24304)

LCM = 323062183808/24304

LCM = 13292552

Thus, we can understand that the LCM of 961,728,532,868 is 13292552.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 961, 728, 532, 868

1. What is the LCM of 961, 728, 532, 868?

Answer: LCM of 961, 728, 532, 868 is 13292552.

2. How to calculate the LCM of 961, 728, 532, 868?

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, 728, 532, 868.

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}.