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LCM of 624, 341, 341, 557

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


Find the LCM of 624, 341, 341, 557 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 624, 341, 341, 557. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 624,341,341,557

Given numbers are 624,341,341,557

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

The LCM of 624,341,341,557 is 118520688.

Find LCM of 624,341,341,557 with Prime Factorization


11 624, 341, 341, 557
31 624, 31, 31, 557
624, 1, 1, 557

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

11 x 31 x 624 x 1 x 1 x 557 = 118520688

Therefore, the lowest common multiple of 624,341,341,557 is 118520688.

LCM Formula to Find Lowest Common Multiple of 624,341,341,557

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.

624 x 341 x 341 x 557 = 40415554608

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.

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

341 : 1, 11, 31, 341

341 : 1, 11, 31, 341

557 : 1, 557

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,341,341,557, is 1.

Now, the common factors can be found like this.

624:2x 2x 2x 2x 3x 13

341:11x 31

341:11x 31

557:557

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

11x 31 = 341

Therefore, the value for common factors is 341.

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 = 40415554608/(1x341)

LCM = 40415554608/341

LCM = 118520688

Thus, we can understand that the LCM of 624,341,341,557 is 118520688.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 624, 341, 341, 557

1. What is the LCM of 624, 341, 341, 557?

Answer: LCM of 624, 341, 341, 557 is 118520688.

2. How to calculate the LCM of 624, 341, 341, 557?

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 624, 341, 341, 557.

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}.