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LCM of 694, 249, 498, 968

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


Find the LCM of 694, 249, 498, 968 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 694, 249, 498, 968. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 694,249,498,968

Given numbers are 694,249,498,968

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

The LCM of 694,249,498,968 is 83638104.

Find LCM of 694,249,498,968 with Prime Factorization


2 694, 249, 498, 968
3 347, 249, 249, 484
83 347, 83, 83, 484
347, 1, 1, 484

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

2 x 3 x 83 x 347 x 1 x 1 x 484 = 83638104

Therefore, the lowest common multiple of 694,249,498,968 is 83638104.

LCM Formula to Find Lowest Common Multiple of 694,249,498,968

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.

694 x 249 x 498 x 968 = 83303551584

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.

694 : 1, 2, 347, 694

249 : 1, 3, 83, 249

498 : 1, 2, 3, 6, 83, 166, 249, 498

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 694,249,498,968, is 1.

Now, the common factors can be found like this.

694:2x 347

249:3x 83

498:2x 3x 83

968:2x 2x 2x 11x 11

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 83 = 996

Therefore, the value for common factors is 996.

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 = 83303551584/(1x996)

LCM = 83303551584/996

LCM = 83638104

Thus, we can understand that the LCM of 694,249,498,968 is 83638104.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 694, 249, 498, 968

1. What is the LCM of 694, 249, 498, 968?

Answer: LCM of 694, 249, 498, 968 is 83638104.

2. How to calculate the LCM of 694, 249, 498, 968?

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 694, 249, 498, 968.

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}.