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LCM of 939, 880, 550, 626, 702

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


Find the LCM of 939, 880, 550, 626, 702 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 939, 880, 550, 626, 702. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 939,880,550,626,702

Given numbers are 939,880,550,626,702

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

The LCM of 939,880,550,626,702 is 483397200.

Find LCM of 939,880,550,626,702 with Prime Factorization


2 939, 880, 550, 626, 702
3 939, 440, 275, 313, 351
5 313, 440, 275, 313, 117
11 313, 88, 55, 313, 117
313 313, 8, 5, 313, 117
1, 8, 5, 1, 117

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

2 x 3 x 5 x 11 x 313 x 1 x 8 x 5 x 1 x 117 = 483397200

Therefore, the lowest common multiple of 939,880,550,626,702 is 483397200.

LCM Formula to Find Lowest Common Multiple of 939,880,550,626,702

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.

939 x 880 x 550 x 626 x 702 = 199720387152000

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.

939 : 1, 3, 313, 939

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

626 : 1, 2, 313, 626

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 939,880,550,626,702, is 1.

Now, the common factors can be found like this.

939:3x 313

880:2x 2x 2x 2x 5x 11

550:2x 5x 5x 11

626:2x 313

702:2x 3x 3x 3x 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 3x 5x 11x 313 = 413160

Therefore, the value for common factors is 413160.

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 = 199720387152000/(1x413160)

LCM = 199720387152000/413160

LCM = 483397200

Thus, we can understand that the LCM of 939,880,550,626,702 is 483397200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 939, 880, 550, 626, 702

1. What is the LCM of 939, 880, 550, 626, 702?

Answer: LCM of 939, 880, 550, 626, 702 is 483397200.

2. How to calculate the LCM of 939, 880, 550, 626, 702?

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 939, 880, 550, 626, 702.

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}.