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LCM of 981, 496, 651, 419

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


Find the LCM of 981, 496, 651, 419 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 981, 496, 651, 419. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 981,496,651,419

Given numbers are 981,496,651,419

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

The LCM of 981,496,651,419 is 1427127408.

Find LCM of 981,496,651,419 with Prime Factorization


3 981, 496, 651, 419
31 327, 496, 217, 419
327, 16, 7, 419

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

3 x 31 x 327 x 16 x 7 x 419 = 1427127408

Therefore, the lowest common multiple of 981,496,651,419 is 1427127408.

LCM Formula to Find Lowest Common Multiple of 981,496,651,419

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.

981 x 496 x 651 x 419 = 132722848944

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.

981 : 1, 3, 9, 109, 327, 981

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

651 : 1, 3, 7, 21, 31, 93, 217, 651

419 : 1, 419

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 981,496,651,419, is 1.

Now, the common factors can be found like this.

981:3x 3x 109

496:2x 2x 2x 2x 31

651:3x 7x 31

419:419

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

3x 31 = 93

Therefore, the value for common factors is 93.

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 = 132722848944/(1x93)

LCM = 132722848944/93

LCM = 1427127408

Thus, we can understand that the LCM of 981,496,651,419 is 1427127408.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 981, 496, 651, 419

1. What is the LCM of 981, 496, 651, 419?

Answer: LCM of 981, 496, 651, 419 is 1427127408.

2. How to calculate the LCM of 981, 496, 651, 419?

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 981, 496, 651, 419.

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}.