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LCM of 950, 277, 755, 852, 570

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


Find the LCM of 950, 277, 755, 852, 570 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 950, 277, 755, 852, 570. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 950,277,755,852,570

Given numbers are 950,277,755,852,570

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

The LCM of 950,277,755,852,570 is 16927386900.

Find LCM of 950,277,755,852,570 with Prime Factorization


2 950, 277, 755, 852, 570
3 475, 277, 755, 426, 285
5 475, 277, 755, 142, 95
19 19, 277, 151, 142, 95
1, 277, 151, 142, 5

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

2 x 3 x 5 x 19 x 1 x 277 x 151 x 142 x 5 = 16927386900

Therefore, the lowest common multiple of 950,277,755,852,570 is 16927386900.

LCM Formula to Find Lowest Common Multiple of 950,277,755,852,570

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.

950 x 277 x 755 x 852 x 570 = 96486105330000

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.

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

277 : 1, 277

755 : 1, 5, 151, 755

852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 950,277,755,852,570, is 1.

Now, the common factors can be found like this.

950:2x 5x 5x 19

277:277

755:5x 151

852:2x 2x 3x 71

570:2x 3x 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.

2x 2x 3x 5x 5x 19 = 5700

Therefore, the value for common factors is 5700.

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 = 96486105330000/(1x5700)

LCM = 96486105330000/5700

LCM = 16927386900

Thus, we can understand that the LCM of 950,277,755,852,570 is 16927386900.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 950, 277, 755, 852, 570

1. What is the LCM of 950, 277, 755, 852, 570?

Answer: LCM of 950, 277, 755, 852, 570 is 16927386900.

2. How to calculate the LCM of 950, 277, 755, 852, 570?

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 950, 277, 755, 852, 570.

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}.