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LCM of 343, 701, 535, 730, 775

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


Find the LCM of 343, 701, 535, 730, 775 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 343, 701, 535, 730, 775. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 343,701,535,730,775

Given numbers are 343,701,535,730,775

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

The LCM of 343,701,535,730,775 is 2911055423150.

Find LCM of 343,701,535,730,775 with Prime Factorization


5 343, 701, 535, 730, 775
343, 701, 107, 146, 155

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

5 x 343 x 701 x 107 x 146 x 155 = 2911055423150

Therefore, the lowest common multiple of 343,701,535,730,775 is 2911055423150.

LCM Formula to Find Lowest Common Multiple of 343,701,535,730,775

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.

343 x 701 x 535 x 730 x 775 = 72776385578750

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.

343 : 1, 7, 49, 343

701 : 1, 701

535 : 1, 5, 107, 535

730 : 1, 2, 5, 10, 73, 146, 365, 730

775 : 1, 5, 25, 31, 155, 775

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,701,535,730,775, is 1.

Now, the common factors can be found like this.

343:7x 7x 7

701:701

535:5x 107

730:2x 5x 73

775:5x 5x 31

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

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 72776385578750/(1x25)

LCM = 72776385578750/25

LCM = 2911055423150

Thus, we can understand that the LCM of 343,701,535,730,775 is 2911055423150.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 343, 701, 535, 730, 775

1. What is the LCM of 343, 701, 535, 730, 775?

Answer: LCM of 343, 701, 535, 730, 775 is 2911055423150.

2. How to calculate the LCM of 343, 701, 535, 730, 775?

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 343, 701, 535, 730, 775.

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}.