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LCM of 146, 419, 988, 841

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


Find the LCM of 146, 419, 988, 841 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 146, 419, 988, 841. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 146,419,988,841

Given numbers are 146,419,988,841

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

The LCM of 146,419,988,841 is 25414982996.

Find LCM of 146,419,988,841 with Prime Factorization


2 146, 419, 988, 841
73, 419, 494, 841

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

2 x 73 x 419 x 494 x 841 = 25414982996

Therefore, the lowest common multiple of 146,419,988,841 is 25414982996.

LCM Formula to Find Lowest Common Multiple of 146,419,988,841

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.

146 x 419 x 988 x 841 = 50829965992

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.

146 : 1, 2, 73, 146

419 : 1, 419

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

841 : 1, 29, 841

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 146,419,988,841, is 1.

Now, the common factors can be found like this.

146:2x 73

419:419

988:2x 2x 13x 19

841:29x 29

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 50829965992/(1x2)

LCM = 50829965992/2

LCM = 25414982996

Thus, we can understand that the LCM of 146,419,988,841 is 25414982996.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 146, 419, 988, 841

1. What is the LCM of 146, 419, 988, 841?

Answer: LCM of 146, 419, 988, 841 is 25414982996.

2. How to calculate the LCM of 146, 419, 988, 841?

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 146, 419, 988, 841.

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}.