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LCM of 540, 771, 678, 718, 183

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


Find the LCM of 540, 771, 678, 718, 183 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 540, 771, 678, 718, 183. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 540,771,678,718,183

Given numbers are 540,771,678,718,183

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

The LCM of 540,771,678,718,183 is 343423183860.

Find LCM of 540,771,678,718,183 with Prime Factorization


2 540, 771, 678, 718, 183
3 270, 771, 339, 359, 183
90, 257, 113, 359, 61

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

2 x 3 x 90 x 257 x 113 x 359 x 61 = 343423183860

Therefore, the lowest common multiple of 540,771,678,718,183 is 343423183860.

LCM Formula to Find Lowest Common Multiple of 540,771,678,718,183

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.

540 x 771 x 678 x 718 x 183 = 37089703856880

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.

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

771 : 1, 3, 257, 771

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

718 : 1, 2, 359, 718

183 : 1, 3, 61, 183

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,771,678,718,183, is 1.

Now, the common factors can be found like this.

540:2x 2x 3x 3x 3x 5

771:3x 257

678:2x 3x 113

718:2x 359

183:3x 61

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 3 = 108

Therefore, the value for common factors is 108.

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 = 37089703856880/(1x108)

LCM = 37089703856880/108

LCM = 343423183860

Thus, we can understand that the LCM of 540,771,678,718,183 is 343423183860.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 540, 771, 678, 718, 183

1. What is the LCM of 540, 771, 678, 718, 183?

Answer: LCM of 540, 771, 678, 718, 183 is 343423183860.

2. How to calculate the LCM of 540, 771, 678, 718, 183?

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 540, 771, 678, 718, 183.

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}.