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LCM of 661, 341, 385, 733, 681

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


Find the LCM of 661, 341, 385, 733, 681 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 661, 341, 385, 733, 681. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 661,341,385,733,681

Given numbers are 661,341,385,733,681

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

The LCM of 661,341,385,733,681 is 3937993268055.

Find LCM of 661,341,385,733,681 with Prime Factorization


11 661, 341, 385, 733, 681
661, 31, 35, 733, 681

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

11 x 661 x 31 x 35 x 733 x 681 = 3937993268055

Therefore, the lowest common multiple of 661,341,385,733,681 is 3937993268055.

LCM Formula to Find Lowest Common Multiple of 661,341,385,733,681

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.

661 x 341 x 385 x 733 x 681 = 43317925948605

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.

661 : 1, 661

341 : 1, 11, 31, 341

385 : 1, 5, 7, 11, 35, 55, 77, 385

733 : 1, 733

681 : 1, 3, 227, 681

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 661,341,385,733,681, is 1.

Now, the common factors can be found like this.

661:661

341:11x 31

385:5x 7x 11

733:733

681:3x 227

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 = 43317925948605/(1x11)

LCM = 43317925948605/11

LCM = 3937993268055

Thus, we can understand that the LCM of 661,341,385,733,681 is 3937993268055.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 661, 341, 385, 733, 681

1. What is the LCM of 661, 341, 385, 733, 681?

Answer: LCM of 661, 341, 385, 733, 681 is 3937993268055.

2. How to calculate the LCM of 661, 341, 385, 733, 681?

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 661, 341, 385, 733, 681.

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}.