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LCM of 624, 852, 452, 781, 347

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


Find the LCM of 624, 852, 452, 781, 347 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, 852, 452, 781, 347. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 624,852,452,781,347

Given numbers are 624,852,452,781,347

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

The LCM of 624,852,452,781,347 is 19109245584.

Find LCM of 624,852,452,781,347 with Prime Factorization


2 624, 852, 452, 781, 347
2 312, 426, 226, 781, 347
3 156, 213, 113, 781, 347
71 52, 71, 113, 781, 347
52, 1, 113, 11, 347

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

2 x 2 x 3 x 71 x 52 x 1 x 113 x 11 x 347 = 19109245584

Therefore, the lowest common multiple of 624,852,452,781,347 is 19109245584.

LCM Formula to Find Lowest Common Multiple of 624,852,452,781,347

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 852 x 452 x 781 x 347 = 65124308950272

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

852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

452 : 1, 2, 4, 113, 226, 452

781 : 1, 11, 71, 781

347 : 1, 347

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,852,452,781,347, is 1.

Now, the common factors can be found like this.

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

852:2x 2x 3x 71

452:2x 2x 113

781:11x 71

347:347

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 2x 2x 3x 71 = 3408

Therefore, the value for common factors is 3408.

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 = 65124308950272/(1x3408)

LCM = 65124308950272/3408

LCM = 19109245584

Thus, we can understand that the LCM of 624,852,452,781,347 is 19109245584.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 624, 852, 452, 781, 347

1. What is the LCM of 624, 852, 452, 781, 347?

Answer: LCM of 624, 852, 452, 781, 347 is 19109245584.

2. How to calculate the LCM of 624, 852, 452, 781, 347?

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, 852, 452, 781, 347.

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}.