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LCM of 498, 187, 678, 527

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


Find the LCM of 498, 187, 678, 527 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 498, 187, 678, 527. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 498,187,678,527

Given numbers are 498,187,678,527

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

The LCM of 498,187,678,527 is 326220378.

Find LCM of 498,187,678,527 with Prime Factorization


2 498, 187, 678, 527
3 249, 187, 339, 527
17 83, 187, 113, 527
83, 11, 113, 31

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

2 x 3 x 17 x 83 x 11 x 113 x 31 = 326220378

Therefore, the lowest common multiple of 498,187,678,527 is 326220378.

LCM Formula to Find Lowest Common Multiple of 498,187,678,527

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.

498 x 187 x 678 x 527 = 33274478556

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.

498 : 1, 2, 3, 6, 83, 166, 249, 498

187 : 1, 11, 17, 187

678 : 1, 2, 3, 6, 113, 226, 339, 678

527 : 1, 17, 31, 527

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 498,187,678,527, is 1.

Now, the common factors can be found like this.

498:2x 3x 83

187:11x 17

678:2x 3x 113

527:17x 31

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 17 = 102

Therefore, the value for common factors is 102.

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 = 33274478556/(1x102)

LCM = 33274478556/102

LCM = 326220378

Thus, we can understand that the LCM of 498,187,678,527 is 326220378.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 498, 187, 678, 527

1. What is the LCM of 498, 187, 678, 527?

Answer: LCM of 498, 187, 678, 527 is 326220378.

2. How to calculate the LCM of 498, 187, 678, 527?

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 498, 187, 678, 527.

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}.