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LCM of 229, 615, 138, 736, 535

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


Find the LCM of 229, 615, 138, 736, 535 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 229, 615, 138, 736, 535. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 229,615,138,736,535

Given numbers are 229,615,138,736,535

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

The LCM of 229,615,138,736,535 is 11091037920.

Find LCM of 229,615,138,736,535 with Prime Factorization


2 229, 615, 138, 736, 535
3 229, 615, 69, 368, 535
5 229, 205, 23, 368, 535
23 229, 41, 23, 368, 107
229, 41, 1, 16, 107

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

2 x 3 x 5 x 23 x 229 x 41 x 1 x 16 x 107 = 11091037920

Therefore, the lowest common multiple of 229,615,138,736,535 is 11091037920.

LCM Formula to Find Lowest Common Multiple of 229,615,138,736,535

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.

229 x 615 x 138 x 736 x 535 = 7652816164800

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.

229 : 1, 229

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

138 : 1, 2, 3, 6, 23, 46, 69, 138

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

535 : 1, 5, 107, 535

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 229,615,138,736,535, is 1.

Now, the common factors can be found like this.

229:229

615:3x 5x 41

138:2x 3x 23

736:2x 2x 2x 2x 2x 23

535:5x 107

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 5x 23 = 690

Therefore, the value for common factors is 690.

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 = 7652816164800/(1x690)

LCM = 7652816164800/690

LCM = 11091037920

Thus, we can understand that the LCM of 229,615,138,736,535 is 11091037920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 229, 615, 138, 736, 535

1. What is the LCM of 229, 615, 138, 736, 535?

Answer: LCM of 229, 615, 138, 736, 535 is 11091037920.

2. How to calculate the LCM of 229, 615, 138, 736, 535?

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 229, 615, 138, 736, 535.

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}.