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LCM of 674, 618, 818, 541, 524

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


Find the LCM of 674, 618, 818, 541, 524 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, 618, 818, 541, 524. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 674,618,818,541,524

Given numbers are 674,618,818,541,524

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

The LCM of 674,618,818,541,524 is 12073696103148.

Find LCM of 674,618,818,541,524 with Prime Factorization


2 674, 618, 818, 541, 524
337, 309, 409, 541, 262

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

2 x 337 x 309 x 409 x 541 x 262 = 12073696103148

Therefore, the lowest common multiple of 674,618,818,541,524 is 12073696103148.

LCM Formula to Find Lowest Common Multiple of 674,618,818,541,524

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 618 x 818 x 541 x 524 = 96589568825184

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

618 : 1, 2, 3, 6, 103, 206, 309, 618

818 : 1, 2, 409, 818

541 : 1, 541

524 : 1, 2, 4, 131, 262, 524

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 674,618,818,541,524, is 1.

Now, the common factors can be found like this.

674:2x 337

618:2x 3x 103

818:2x 409

541:541

524:2x 2x 131

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 2 = 8

Therefore, the value for common factors is 8.

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 = 96589568825184/(1x8)

LCM = 96589568825184/8

LCM = 12073696103148

Thus, we can understand that the LCM of 674,618,818,541,524 is 12073696103148.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 674, 618, 818, 541, 524

1. What is the LCM of 674, 618, 818, 541, 524?

Answer: LCM of 674, 618, 818, 541, 524 is 12073696103148.

2. How to calculate the LCM of 674, 618, 818, 541, 524?

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, 618, 818, 541, 524.

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}.