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LCM of 389, 472, 740, 652, 780

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


Find the LCM of 389, 472, 740, 652, 780 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 389, 472, 740, 652, 780. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 389,472,740,652,780

Given numbers are 389,472,740,652,780

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

The LCM of 389,472,740,652,780 is 215931270360.

Find LCM of 389,472,740,652,780 with Prime Factorization


2 389, 472, 740, 652, 780
2 389, 236, 370, 326, 390
5 389, 118, 185, 163, 195
389, 118, 37, 163, 39

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

2 x 2 x 5 x 389 x 118 x 37 x 163 x 39 = 215931270360

Therefore, the lowest common multiple of 389,472,740,652,780 is 215931270360.

LCM Formula to Find Lowest Common Multiple of 389,472,740,652,780

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.

389 x 472 x 740 x 652 x 780 = 69098006515200

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.

389 : 1, 389

472 : 1, 2, 4, 8, 59, 118, 236, 472

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

652 : 1, 2, 4, 163, 326, 652

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 389,472,740,652,780, is 1.

Now, the common factors can be found like this.

389:389

472:2x 2x 2x 59

740:2x 2x 5x 37

652:2x 2x 163

780:2x 2x 3x 5x 13

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 2x 2x 5 = 320

Therefore, the value for common factors is 320.

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 = 69098006515200/(1x320)

LCM = 69098006515200/320

LCM = 215931270360

Thus, we can understand that the LCM of 389,472,740,652,780 is 215931270360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 389, 472, 740, 652, 780

1. What is the LCM of 389, 472, 740, 652, 780?

Answer: LCM of 389, 472, 740, 652, 780 is 215931270360.

2. How to calculate the LCM of 389, 472, 740, 652, 780?

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 389, 472, 740, 652, 780.

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}.