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LCM of 967, 851, 778, 193, 132

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


Find the LCM of 967, 851, 778, 193, 132 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 967, 851, 778, 193, 132. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 967,851,778,193,132

Given numbers are 967,851,778,193,132

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

The LCM of 967,851,778,193,132 is 8155242428388.

Find LCM of 967,851,778,193,132 with Prime Factorization


2 967, 851, 778, 193, 132
967, 851, 389, 193, 66

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

2 x 967 x 851 x 389 x 193 x 66 = 8155242428388

Therefore, the lowest common multiple of 967,851,778,193,132 is 8155242428388.

LCM Formula to Find Lowest Common Multiple of 967,851,778,193,132

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.

967 x 851 x 778 x 193 x 132 = 16310484856776

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.

967 : 1, 967

851 : 1, 23, 37, 851

778 : 1, 2, 389, 778

193 : 1, 193

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 967,851,778,193,132, is 1.

Now, the common factors can be found like this.

967:967

851:23x 37

778:2x 389

193:193

132:2x 2x 3x 11

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

2 = 2

Therefore, the value for common factors is 2.

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 = 16310484856776/(1x2)

LCM = 16310484856776/2

LCM = 8155242428388

Thus, we can understand that the LCM of 967,851,778,193,132 is 8155242428388.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 967, 851, 778, 193, 132

1. What is the LCM of 967, 851, 778, 193, 132?

Answer: LCM of 967, 851, 778, 193, 132 is 8155242428388.

2. How to calculate the LCM of 967, 851, 778, 193, 132?

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 967, 851, 778, 193, 132.

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}.