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LCM of 527, 554, 124, 594

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


Find the LCM of 527, 554, 124, 594 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 527, 554, 124, 594. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 527,554,124,594

Given numbers are 527,554,124,594

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

The LCM of 527,554,124,594 is 173423052.

Find LCM of 527,554,124,594 with Prime Factorization


2 527, 554, 124, 594
31 527, 277, 62, 297
17, 277, 2, 297

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

2 x 31 x 17 x 277 x 2 x 297 = 173423052

Therefore, the lowest common multiple of 527,554,124,594 is 173423052.

LCM Formula to Find Lowest Common Multiple of 527,554,124,594

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.

527 x 554 x 124 x 594 = 21504458448

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.

527 : 1, 17, 31, 527

554 : 1, 2, 277, 554

124 : 1, 2, 4, 31, 62, 124

594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 527,554,124,594, is 1.

Now, the common factors can be found like this.

527:17x 31

554:2x 277

124:2x 2x 31

594:2x 3x 3x 3x 11

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 31 = 124

Therefore, the value for common factors is 124.

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 = 21504458448/(1x124)

LCM = 21504458448/124

LCM = 173423052

Thus, we can understand that the LCM of 527,554,124,594 is 173423052.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 527, 554, 124, 594

1. What is the LCM of 527, 554, 124, 594?

Answer: LCM of 527, 554, 124, 594 is 173423052.

2. How to calculate the LCM of 527, 554, 124, 594?

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 527, 554, 124, 594.

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}.