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LCM of 968, 462, 879, 918, 841

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


Find the LCM of 968, 462, 879, 918, 841 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 968, 462, 879, 918, 841. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 968,462,879,918,841

Given numbers are 968,462,879,918,841

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

The LCM of 968,462,879,918,841 is 766389769992.

Find LCM of 968,462,879,918,841 with Prime Factorization


2 968, 462, 879, 918, 841
3 484, 231, 879, 459, 841
11 484, 77, 293, 153, 841
44, 7, 293, 153, 841

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

2 x 3 x 11 x 44 x 7 x 293 x 153 x 841 = 766389769992

Therefore, the lowest common multiple of 968,462,879,918,841 is 766389769992.

LCM Formula to Find Lowest Common Multiple of 968,462,879,918,841

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.

968 x 462 x 879 x 918 x 841 = 303490348916832

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.

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

879 : 1, 3, 293, 879

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

841 : 1, 29, 841

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 968,462,879,918,841, is 1.

Now, the common factors can be found like this.

968:2x 2x 2x 11x 11

462:2x 3x 7x 11

879:3x 293

918:2x 3x 3x 3x 17

841:29x 29

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 3x 3x 11 = 396

Therefore, the value for common factors is 396.

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 = 303490348916832/(1x396)

LCM = 303490348916832/396

LCM = 766389769992

Thus, we can understand that the LCM of 968,462,879,918,841 is 766389769992.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 968, 462, 879, 918, 841

1. What is the LCM of 968, 462, 879, 918, 841?

Answer: LCM of 968, 462, 879, 918, 841 is 766389769992.

2. How to calculate the LCM of 968, 462, 879, 918, 841?

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 968, 462, 879, 918, 841.

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}.