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LCM of 552, 924, 253, 878

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


Find the LCM of 552, 924, 253, 878 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 552, 924, 253, 878. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 552,924,253,878

Given numbers are 552,924,253,878

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

The LCM of 552,924,253,878 is 18659256.

Find LCM of 552,924,253,878 with Prime Factorization


2 552, 924, 253, 878
2 276, 462, 253, 439
3 138, 231, 253, 439
11 46, 77, 253, 439
23 46, 7, 23, 439
2, 7, 1, 439

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

2 x 2 x 3 x 11 x 23 x 2 x 7 x 1 x 439 = 18659256

Therefore, the lowest common multiple of 552,924,253,878 is 18659256.

LCM Formula to Find Lowest Common Multiple of 552,924,253,878

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.

552 x 924 x 253 x 878 = 113299002432

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.

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

253 : 1, 11, 23, 253

878 : 1, 2, 439, 878

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 552,924,253,878, is 1.

Now, the common factors can be found like this.

552:2x 2x 2x 3x 23

924:2x 2x 3x 7x 11

253:11x 23

878:2x 439

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 3x 11x 23 = 6072

Therefore, the value for common factors is 6072.

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 = 113299002432/(1x6072)

LCM = 113299002432/6072

LCM = 18659256

Thus, we can understand that the LCM of 552,924,253,878 is 18659256.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 552, 924, 253, 878

1. What is the LCM of 552, 924, 253, 878?

Answer: LCM of 552, 924, 253, 878 is 18659256.

2. How to calculate the LCM of 552, 924, 253, 878?

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 552, 924, 253, 878.

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}.