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LCM of 565, 247, 127, 971, 950

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


Find the LCM of 565, 247, 127, 971, 950 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 565, 247, 127, 971, 950. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 565,247,127,971,950

Given numbers are 565,247,127,971,950

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

The LCM of 565,247,127,971,950 is 172095039350.

Find LCM of 565,247,127,971,950 with Prime Factorization


5 565, 247, 127, 971, 950
19 113, 247, 127, 971, 190
113, 13, 127, 971, 10

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

5 x 19 x 113 x 13 x 127 x 971 x 10 = 172095039350

Therefore, the lowest common multiple of 565,247,127,971,950 is 172095039350.

LCM Formula to Find Lowest Common Multiple of 565,247,127,971,950

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.

565 x 247 x 127 x 971 x 950 = 16349028738250

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.

565 : 1, 5, 113, 565

247 : 1, 13, 19, 247

127 : 1, 127

971 : 1, 971

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,247,127,971,950, is 1.

Now, the common factors can be found like this.

565:5x 113

247:13x 19

127:127

971:971

950:2x 5x 5x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

5x 19 = 95

Therefore, the value for common factors is 95.

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 = 16349028738250/(1x95)

LCM = 16349028738250/95

LCM = 172095039350

Thus, we can understand that the LCM of 565,247,127,971,950 is 172095039350.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 565, 247, 127, 971, 950

1. What is the LCM of 565, 247, 127, 971, 950?

Answer: LCM of 565, 247, 127, 971, 950 is 172095039350.

2. How to calculate the LCM of 565, 247, 127, 971, 950?

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 565, 247, 127, 971, 950.

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}.