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LCM of 148, 646, 844, 919

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


Find the LCM of 148, 646, 844, 919 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 148, 646, 844, 919. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 148,646,844,919

Given numbers are 148,646,844,919

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

The LCM of 148,646,844,919 is 9269625836.

Find LCM of 148,646,844,919 with Prime Factorization


2 148, 646, 844, 919
2 74, 323, 422, 919
37, 323, 211, 919

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

2 x 2 x 37 x 323 x 211 x 919 = 9269625836

Therefore, the lowest common multiple of 148,646,844,919 is 9269625836.

LCM Formula to Find Lowest Common Multiple of 148,646,844,919

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.

148 x 646 x 844 x 919 = 74157006688

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.

148 : 1, 2, 4, 37, 74, 148

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

844 : 1, 2, 4, 211, 422, 844

919 : 1, 919

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 148,646,844,919, is 1.

Now, the common factors can be found like this.

148:2x 2x 37

646:2x 17x 19

844:2x 2x 211

919:919

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 2 = 8

Therefore, the value for common factors is 8.

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 = 74157006688/(1x8)

LCM = 74157006688/8

LCM = 9269625836

Thus, we can understand that the LCM of 148,646,844,919 is 9269625836.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 148, 646, 844, 919

1. What is the LCM of 148, 646, 844, 919?

Answer: LCM of 148, 646, 844, 919 is 9269625836.

2. How to calculate the LCM of 148, 646, 844, 919?

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 148, 646, 844, 919.

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}.