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LCM of 735, 394, 515, 194, 776

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


Find the LCM of 735, 394, 515, 194, 776 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 735, 394, 515, 194, 776. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 735,394,515,194,776

Given numbers are 735,394,515,194,776

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

The LCM of 735,394,515,194,776 is 11573174760.

Find LCM of 735,394,515,194,776 with Prime Factorization


2 735, 394, 515, 194, 776
5 735, 197, 515, 97, 388
97 147, 197, 103, 97, 388
147, 197, 103, 1, 4

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

2 x 5 x 97 x 147 x 197 x 103 x 1 x 4 = 11573174760

Therefore, the lowest common multiple of 735,394,515,194,776 is 11573174760.

LCM Formula to Find Lowest Common Multiple of 735,394,515,194,776

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.

735 x 394 x 515 x 194 x 776 = 22451959034400

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.

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

394 : 1, 2, 197, 394

515 : 1, 5, 103, 515

194 : 1, 2, 97, 194

776 : 1, 2, 4, 8, 97, 194, 388, 776

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,394,515,194,776, is 1.

Now, the common factors can be found like this.

735:3x 5x 7x 7

394:2x 197

515:5x 103

194:2x 97

776:2x 2x 2x 97

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

2x 2x 5x 97 = 1940

Therefore, the value for common factors is 1940.

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 = 22451959034400/(1x1940)

LCM = 22451959034400/1940

LCM = 11573174760

Thus, we can understand that the LCM of 735,394,515,194,776 is 11573174760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 735, 394, 515, 194, 776

1. What is the LCM of 735, 394, 515, 194, 776?

Answer: LCM of 735, 394, 515, 194, 776 is 11573174760.

2. How to calculate the LCM of 735, 394, 515, 194, 776?

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 735, 394, 515, 194, 776.

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}.