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LCM of 674, 517, 674, 739, 183

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


Find the LCM of 674, 517, 674, 739, 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 674, 517, 674, 739, 183. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 674,517,674,739,183

Given numbers are 674,517,674,739,183

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

The LCM of 674,517,674,739,183 is 47124414546.

Find LCM of 674,517,674,739,183 with Prime Factorization


2 674, 517, 674, 739, 183
337 337, 517, 337, 739, 183
1, 517, 1, 739, 183

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

2 x 337 x 1 x 517 x 1 x 739 x 183 = 47124414546

Therefore, the lowest common multiple of 674,517,674,739,183 is 47124414546.

LCM Formula to Find Lowest Common Multiple of 674,517,674,739,183

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.

674 x 517 x 674 x 739 x 183 = 31761855404004

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.

674 : 1, 2, 337, 674

517 : 1, 11, 47, 517

674 : 1, 2, 337, 674

739 : 1, 739

183 : 1, 3, 61, 183

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 674,517,674,739,183, is 1.

Now, the common factors can be found like this.

674:2x 337

517:11x 47

674:2x 337

739:739

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 337 = 674

Therefore, the value for common factors is 674.

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 = 31761855404004/(1x674)

LCM = 31761855404004/674

LCM = 47124414546

Thus, we can understand that the LCM of 674,517,674,739,183 is 47124414546.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 674, 517, 674, 739, 183

1. What is the LCM of 674, 517, 674, 739, 183?

Answer: LCM of 674, 517, 674, 739, 183 is 47124414546.

2. How to calculate the LCM of 674, 517, 674, 739, 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 674, 517, 674, 739, 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}.