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LCM of 309, 791, 827, 565, 202

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


Find the LCM of 309, 791, 827, 565, 202 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 309, 791, 827, 565, 202. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 309,791,827,565,202

Given numbers are 309,791,827,565,202

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

The LCM of 309,791,827,565,202 is 204155858130.

Find LCM of 309,791,827,565,202 with Prime Factorization


113 309, 791, 827, 565, 202
309, 7, 827, 5, 202

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

113 x 309 x 7 x 827 x 5 x 202 = 204155858130

Therefore, the lowest common multiple of 309,791,827,565,202 is 204155858130.

LCM Formula to Find Lowest Common Multiple of 309,791,827,565,202

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.

309 x 791 x 827 x 565 x 202 = 23069611968690

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.

309 : 1, 3, 103, 309

791 : 1, 7, 113, 791

827 : 1, 827

565 : 1, 5, 113, 565

202 : 1, 2, 101, 202

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,791,827,565,202, is 1.

Now, the common factors can be found like this.

309:3x 103

791:7x 113

827:827

565:5x 113

202:2x 101

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

113 = 113

Therefore, the value for common factors is 113.

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 = 23069611968690/(1x113)

LCM = 23069611968690/113

LCM = 204155858130

Thus, we can understand that the LCM of 309,791,827,565,202 is 204155858130.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 309, 791, 827, 565, 202

1. What is the LCM of 309, 791, 827, 565, 202?

Answer: LCM of 309, 791, 827, 565, 202 is 204155858130.

2. How to calculate the LCM of 309, 791, 827, 565, 202?

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 309, 791, 827, 565, 202.

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}.