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LCM of 948, 646, 778, 748

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


Find the LCM of 948, 646, 778, 748 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 948, 646, 778, 748. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 948,646,778,748

Given numbers are 948,646,778,748

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

The LCM of 948,646,778,748 is 1310246916.

Find LCM of 948,646,778,748 with Prime Factorization


2 948, 646, 778, 748
2 474, 323, 389, 374
17 237, 323, 389, 187
237, 19, 389, 11

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

2 x 2 x 17 x 237 x 19 x 389 x 11 = 1310246916

Therefore, the lowest common multiple of 948,646,778,748 is 1310246916.

LCM Formula to Find Lowest Common Multiple of 948,646,778,748

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.

948 x 646 x 778 x 748 = 356387161152

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.

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

646 : 1, 2, 17, 19, 34, 38, 323, 646

778 : 1, 2, 389, 778

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 948,646,778,748, is 2.

Now, the common factors can be found like this.

948:2x 2x 3x 79

646:2x 17x 19

778:2x 389

748:2x 2x 11x 17

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 17 = 136

Therefore, the value for common factors is 136.

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 = 356387161152/(2x136)

LCM = 356387161152/272

LCM = 1310246916

Thus, we can understand that the LCM of 948,646,778,748 is 1310246916.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 948, 646, 778, 748

1. What is the LCM of 948, 646, 778, 748?

Answer: LCM of 948, 646, 778, 748 is 1310246916.

2. How to calculate the LCM of 948, 646, 778, 748?

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 948, 646, 778, 748.

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}.