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LCM of 968, 513, 994, 874, 564

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


Find the LCM of 968, 513, 994, 874, 564 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, 513, 994, 874, 564. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 968,513,994,874,564

Given numbers are 968,513,994,874,564

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

The LCM of 968,513,994,874,564 is 266793230088.

Find LCM of 968,513,994,874,564 with Prime Factorization


2 968, 513, 994, 874, 564
2 484, 513, 497, 437, 282
3 242, 513, 497, 437, 141
19 242, 171, 497, 437, 47
242, 9, 497, 23, 47

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

2 x 2 x 3 x 19 x 242 x 9 x 497 x 23 x 47 = 266793230088

Therefore, the lowest common multiple of 968,513,994,874,564 is 266793230088.

LCM Formula to Find Lowest Common Multiple of 968,513,994,874,564

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 513 x 994 x 874 x 564 = 243315425840256

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

513 : 1, 3, 9, 19, 27, 57, 171, 513

994 : 1, 2, 7, 14, 71, 142, 497, 994

874 : 1, 2, 19, 23, 38, 46, 437, 874

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 968,513,994,874,564, is 1.

Now, the common factors can be found like this.

968:2x 2x 2x 11x 11

513:3x 3x 3x 19

994:2x 7x 71

874:2x 19x 23

564:2x 2x 3x 47

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 3x 19 = 912

Therefore, the value for common factors is 912.

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 = 243315425840256/(1x912)

LCM = 243315425840256/912

LCM = 266793230088

Thus, we can understand that the LCM of 968,513,994,874,564 is 266793230088.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 968, 513, 994, 874, 564

1. What is the LCM of 968, 513, 994, 874, 564?

Answer: LCM of 968, 513, 994, 874, 564 is 266793230088.

2. How to calculate the LCM of 968, 513, 994, 874, 564?

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, 513, 994, 874, 564.

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}.