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LCM of 294, 735, 902, 513

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


Find the LCM of 294, 735, 902, 513 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 294, 735, 902, 513. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 294,735,902,513

Given numbers are 294,735,902,513

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

The LCM of 294,735,902,513 is 113367870.

Find LCM of 294,735,902,513 with Prime Factorization


2 294, 735, 902, 513
3 147, 735, 451, 513
7 49, 245, 451, 171
7 7, 35, 451, 171
1, 5, 451, 171

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

2 x 3 x 7 x 7 x 1 x 5 x 451 x 171 = 113367870

Therefore, the lowest common multiple of 294,735,902,513 is 113367870.

LCM Formula to Find Lowest Common Multiple of 294,735,902,513

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.

294 x 735 x 902 x 513 = 99990461340

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.

294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

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

902 : 1, 2, 11, 22, 41, 82, 451, 902

513 : 1, 3, 9, 19, 27, 57, 171, 513

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 294,735,902,513, is 1.

Now, the common factors can be found like this.

294:2x 3x 7x 7

735:3x 5x 7x 7

902:2x 11x 41

513:3x 3x 3x 19

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

2x 3x 3x 7x 7 = 882

Therefore, the value for common factors is 882.

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 = 99990461340/(1x882)

LCM = 99990461340/882

LCM = 113367870

Thus, we can understand that the LCM of 294,735,902,513 is 113367870.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 294, 735, 902, 513

1. What is the LCM of 294, 735, 902, 513?

Answer: LCM of 294, 735, 902, 513 is 113367870.

2. How to calculate the LCM of 294, 735, 902, 513?

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 294, 735, 902, 513.

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}.