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LCM of 242, 930, 279, 669, 748

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


Find the LCM of 242, 930, 279, 669, 748 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, 930, 279, 669, 748. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 242,930,279,669,748

Given numbers are 242,930,279,669,748

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

The LCM of 242,930,279,669,748 is 2559607380.

Find LCM of 242,930,279,669,748 with Prime Factorization


2 242, 930, 279, 669, 748
3 121, 465, 279, 669, 374
11 121, 155, 93, 223, 374
31 11, 155, 93, 223, 34
11, 5, 3, 223, 34

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

2 x 3 x 11 x 31 x 11 x 5 x 3 x 223 x 34 = 2559607380

Therefore, the lowest common multiple of 242,930,279,669,748 is 2559607380.

LCM Formula to Find Lowest Common Multiple of 242,930,279,669,748

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 930 x 279 x 669 x 748 = 31421740196880

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

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

279 : 1, 3, 9, 31, 93, 279

669 : 1, 3, 223, 669

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,930,279,669,748, is 1.

Now, the common factors can be found like this.

242:2x 11x 11

930:2x 3x 5x 31

279:3x 3x 31

669:3x 223

748:2x 2x 11x 17

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 3x 3x 11x 31 = 12276

Therefore, the value for common factors is 12276.

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 = 31421740196880/(1x12276)

LCM = 31421740196880/12276

LCM = 2559607380

Thus, we can understand that the LCM of 242,930,279,669,748 is 2559607380.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 242, 930, 279, 669, 748

1. What is the LCM of 242, 930, 279, 669, 748?

Answer: LCM of 242, 930, 279, 669, 748 is 2559607380.

2. How to calculate the LCM of 242, 930, 279, 669, 748?

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, 930, 279, 669, 748.

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}.