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LCM of 955, 913, 847, 780

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


Find the LCM of 955, 913, 847, 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 955, 913, 847, 780. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 955,913,847,780

Given numbers are 955,913,847,780

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

The LCM of 955,913,847,780 is 10473442980.

Find LCM of 955,913,847,780 with Prime Factorization


5 955, 913, 847, 780
11 191, 913, 847, 156
191, 83, 77, 156

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

5 x 11 x 191 x 83 x 77 x 156 = 10473442980

Therefore, the lowest common multiple of 955,913,847,780 is 10473442980.

LCM Formula to Find Lowest Common Multiple of 955,913,847,780

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.

955 x 913 x 847 x 780 = 576039363900

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.

955 : 1, 5, 191, 955

913 : 1, 11, 83, 913

847 : 1, 7, 11, 77, 121, 847

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 955,913,847,780, is 1.

Now, the common factors can be found like this.

955:5x 191

913:11x 83

847:7x 11x 11

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.

5x 11 = 55

Therefore, the value for common factors is 55.

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 = 576039363900/(1x55)

LCM = 576039363900/55

LCM = 10473442980

Thus, we can understand that the LCM of 955,913,847,780 is 10473442980.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 955, 913, 847, 780

1. What is the LCM of 955, 913, 847, 780?

Answer: LCM of 955, 913, 847, 780 is 10473442980.

2. How to calculate the LCM of 955, 913, 847, 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 955, 913, 847, 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}.