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LCM of 365, 403, 616, 583, 551

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


Find the LCM of 365, 403, 616, 583, 551 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 365, 403, 616, 583, 551. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 365,403,616,583,551

Given numbers are 365,403,616,583,551

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

The LCM of 365,403,616,583,551 is 2646099015560.

Find LCM of 365,403,616,583,551 with Prime Factorization


11 365, 403, 616, 583, 551
365, 403, 56, 53, 551

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

11 x 365 x 403 x 56 x 53 x 551 = 2646099015560

Therefore, the lowest common multiple of 365,403,616,583,551 is 2646099015560.

LCM Formula to Find Lowest Common Multiple of 365,403,616,583,551

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.

365 x 403 x 616 x 583 x 551 = 29107089171160

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.

365 : 1, 5, 73, 365

403 : 1, 13, 31, 403

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

583 : 1, 11, 53, 583

551 : 1, 19, 29, 551

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 365,403,616,583,551, is 1.

Now, the common factors can be found like this.

365:5x 73

403:13x 31

616:2x 2x 2x 7x 11

583:11x 53

551:19x 29

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

11 = 11

Therefore, the value for common factors is 11.

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 = 29107089171160/(1x11)

LCM = 29107089171160/11

LCM = 2646099015560

Thus, we can understand that the LCM of 365,403,616,583,551 is 2646099015560.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 365, 403, 616, 583, 551

1. What is the LCM of 365, 403, 616, 583, 551?

Answer: LCM of 365, 403, 616, 583, 551 is 2646099015560.

2. How to calculate the LCM of 365, 403, 616, 583, 551?

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 365, 403, 616, 583, 551.

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}.