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LCM of 254, 748, 418, 452

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


Find the LCM of 254, 748, 418, 452 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 254, 748, 418, 452. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 254,748,418,452

Given numbers are 254,748,418,452

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

The LCM of 254,748,418,452 is 203956412.

Find LCM of 254,748,418,452 with Prime Factorization


2 254, 748, 418, 452
2 127, 374, 209, 226
11 127, 187, 209, 113
127, 17, 19, 113

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

2 x 2 x 11 x 127 x 17 x 19 x 113 = 203956412

Therefore, the lowest common multiple of 254,748,418,452 is 203956412.

LCM Formula to Find Lowest Common Multiple of 254,748,418,452

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.

254 x 748 x 418 x 452 = 35896328512

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.

254 : 1, 2, 127, 254

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

418 : 1, 2, 11, 19, 22, 38, 209, 418

452 : 1, 2, 4, 113, 226, 452

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 254,748,418,452, is 2.

Now, the common factors can be found like this.

254:2x 127

748:2x 2x 11x 17

418:2x 11x 19

452:2x 2x 113

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 2x 11 = 88

Therefore, the value for common factors is 88.

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 = 35896328512/(2x88)

LCM = 35896328512/176

LCM = 203956412

Thus, we can understand that the LCM of 254,748,418,452 is 203956412.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 254, 748, 418, 452

1. What is the LCM of 254, 748, 418, 452?

Answer: LCM of 254, 748, 418, 452 is 203956412.

2. How to calculate the LCM of 254, 748, 418, 452?

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 254, 748, 418, 452.

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}.