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LCM of 161, 496, 677, 341

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


Find the LCM of 161, 496, 677, 341 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 161, 496, 677, 341. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 161,496,677,341

Given numbers are 161,496,677,341

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

The LCM of 161,496,677,341 is 594687632.

Find LCM of 161,496,677,341 with Prime Factorization


31 161, 496, 677, 341
161, 16, 677, 11

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

31 x 161 x 16 x 677 x 11 = 594687632

Therefore, the lowest common multiple of 161,496,677,341 is 594687632.

LCM Formula to Find Lowest Common Multiple of 161,496,677,341

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.

161 x 496 x 677 x 341 = 18435316592

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.

161 : 1, 7, 23, 161

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

677 : 1, 677

341 : 1, 11, 31, 341

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 161,496,677,341, is 1.

Now, the common factors can be found like this.

161:7x 23

496:2x 2x 2x 2x 31

677:677

341:11x 31

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

31 = 31

Therefore, the value for common factors is 31.

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 = 18435316592/(1x31)

LCM = 18435316592/31

LCM = 594687632

Thus, we can understand that the LCM of 161,496,677,341 is 594687632.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 161, 496, 677, 341

1. What is the LCM of 161, 496, 677, 341?

Answer: LCM of 161, 496, 677, 341 is 594687632.

2. How to calculate the LCM of 161, 496, 677, 341?

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 161, 496, 677, 341.

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}.