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LCM of 626, 312, 432, 968

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


Find the LCM of 626, 312, 432, 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 626, 312, 432, 968. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 626,312,432,968

Given numbers are 626,312,432,968

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

The LCM of 626,312,432,968 is 212694768.

Find LCM of 626,312,432,968 with Prime Factorization


2 626, 312, 432, 968
2 313, 156, 216, 484
2 313, 78, 108, 242
3 313, 39, 54, 121
313, 13, 18, 121

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

2 x 2 x 2 x 3 x 313 x 13 x 18 x 121 = 212694768

Therefore, the lowest common multiple of 626,312,432,968 is 212694768.

LCM Formula to Find Lowest Common Multiple of 626,312,432,968

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.

626 x 312 x 432 x 968 = 81674790912

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.

626 : 1, 2, 313, 626

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 626,312,432,968, is 2.

Now, the common factors can be found like this.

626:2x 313

312:2x 2x 2x 3x 13

432:2x 2x 2x 2x 3x 3x 3

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 2x 2x 2x 2x 3 = 192

Therefore, the value for common factors is 192.

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 = 81674790912/(2x192)

LCM = 81674790912/384

LCM = 212694768

Thus, we can understand that the LCM of 626,312,432,968 is 212694768.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 626, 312, 432, 968

1. What is the LCM of 626, 312, 432, 968?

Answer: LCM of 626, 312, 432, 968 is 212694768.

2. How to calculate the LCM of 626, 312, 432, 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 626, 312, 432, 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}.