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LCM of 239, 702, 943, 780

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


Find the LCM of 239, 702, 943, 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 239, 702, 943, 780. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 239,702,943,780

Given numbers are 239,702,943,780

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

The LCM of 239,702,943,780 is 1582146540.

Find LCM of 239,702,943,780 with Prime Factorization


2 239, 702, 943, 780
3 239, 351, 943, 390
13 239, 117, 943, 130
239, 9, 943, 10

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

2 x 3 x 13 x 239 x 9 x 943 x 10 = 1582146540

Therefore, the lowest common multiple of 239,702,943,780 is 1582146540.

LCM Formula to Find Lowest Common Multiple of 239,702,943,780

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.

239 x 702 x 943 x 780 = 123407430120

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.

239 : 1, 239

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

943 : 1, 23, 41, 943

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 239,702,943,780, is 1.

Now, the common factors can be found like this.

239:239

702:2x 3x 3x 3x 13

943:23x 41

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 3x 13 = 78

Therefore, the value for common factors is 78.

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 = 123407430120/(1x78)

LCM = 123407430120/78

LCM = 1582146540

Thus, we can understand that the LCM of 239,702,943,780 is 1582146540.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 239, 702, 943, 780

1. What is the LCM of 239, 702, 943, 780?

Answer: LCM of 239, 702, 943, 780 is 1582146540.

2. How to calculate the LCM of 239, 702, 943, 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 239, 702, 943, 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}.