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LCM of 294, 693, 424, 615

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


Find the LCM of 294, 693, 424, 615 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, 693, 424, 615. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 294,693,424,615

Given numbers are 294,693,424,615

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

The LCM of 294,693,424,615 is 421648920.

Find LCM of 294,693,424,615 with Prime Factorization


2 294, 693, 424, 615
3 147, 693, 212, 615
7 49, 231, 212, 205
7, 33, 212, 205

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

2 x 3 x 7 x 7 x 33 x 212 x 205 = 421648920

Therefore, the lowest common multiple of 294,693,424,615 is 421648920.

LCM Formula to Find Lowest Common Multiple of 294,693,424,615

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 693 x 424 x 615 = 53127763920

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

693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

424 : 1, 2, 4, 8, 53, 106, 212, 424

615 : 1, 3, 5, 15, 41, 123, 205, 615

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 294,693,424,615, is 1.

Now, the common factors can be found like this.

294:2x 3x 7x 7

693:3x 3x 7x 11

424:2x 2x 2x 53

615:3x 5x 41

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 7 = 126

Therefore, the value for common factors is 126.

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 = 53127763920/(1x126)

LCM = 53127763920/126

LCM = 421648920

Thus, we can understand that the LCM of 294,693,424,615 is 421648920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 294, 693, 424, 615

1. What is the LCM of 294, 693, 424, 615?

Answer: LCM of 294, 693, 424, 615 is 421648920.

2. How to calculate the LCM of 294, 693, 424, 615?

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, 693, 424, 615.

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}.