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LCM of 341, 950, 889, 780

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


Find the LCM of 341, 950, 889, 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 341, 950, 889, 780. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 341,950,889,780

Given numbers are 341,950,889,780

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

The LCM of 341,950,889,780 is 22463340900.

Find LCM of 341,950,889,780 with Prime Factorization


2 341, 950, 889, 780
5 341, 475, 889, 390
341, 95, 889, 78

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

2 x 5 x 341 x 95 x 889 x 78 = 22463340900

Therefore, the lowest common multiple of 341,950,889,780 is 22463340900.

LCM Formula to Find Lowest Common Multiple of 341,950,889,780

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.

341 x 950 x 889 x 780 = 224633409000

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.

341 : 1, 11, 31, 341

950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

889 : 1, 7, 127, 889

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 341,950,889,780, is 1.

Now, the common factors can be found like this.

341:11x 31

950:2x 5x 5x 19

889:7x 127

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 5 = 10

Therefore, the value for common factors is 10.

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 = 224633409000/(1x10)

LCM = 224633409000/10

LCM = 22463340900

Thus, we can understand that the LCM of 341,950,889,780 is 22463340900.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 341, 950, 889, 780

1. What is the LCM of 341, 950, 889, 780?

Answer: LCM of 341, 950, 889, 780 is 22463340900.

2. How to calculate the LCM of 341, 950, 889, 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 341, 950, 889, 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}.