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LCM of 242, 741, 292, 533

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


Find the LCM of 242, 741, 292, 533 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 242, 741, 292, 533. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 242,741,292,533

Given numbers are 242,741,292,533

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

The LCM of 242,741,292,533 is 1073421492.

Find LCM of 242,741,292,533 with Prime Factorization


2 242, 741, 292, 533
13 121, 741, 146, 533
121, 57, 146, 41

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

2 x 13 x 121 x 57 x 146 x 41 = 1073421492

Therefore, the lowest common multiple of 242,741,292,533 is 1073421492.

LCM Formula to Find Lowest Common Multiple of 242,741,292,533

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.

242 x 741 x 292 x 533 = 27908958792

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.

242 : 1, 2, 11, 22, 121, 242

741 : 1, 3, 13, 19, 39, 57, 247, 741

292 : 1, 2, 4, 73, 146, 292

533 : 1, 13, 41, 533

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,741,292,533, is 1.

Now, the common factors can be found like this.

242:2x 11x 11

741:3x 13x 19

292:2x 2x 73

533:13x 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 13 = 26

Therefore, the value for common factors is 26.

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 = 27908958792/(1x26)

LCM = 27908958792/26

LCM = 1073421492

Thus, we can understand that the LCM of 242,741,292,533 is 1073421492.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 242, 741, 292, 533

1. What is the LCM of 242, 741, 292, 533?

Answer: LCM of 242, 741, 292, 533 is 1073421492.

2. How to calculate the LCM of 242, 741, 292, 533?

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 242, 741, 292, 533.

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}.