Least Common Multiple of 834/870, 8957/5745

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 834/870, 8957/5745 quickly i.e. 7470138/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 834/870, 8957/5745 is 7470138/15.

LCM(834/870, 8957/5745) = 7470138/15

LCM of 834/870, 8957/5745

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 834/870,8957/5745

Given numbers are 834/870,8957/5745

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 834,8957

Least Common Multiple of Numerators i.e. LCM of 834,8957 is 7470138.

GCF of Denominators means GCF of 870,5745 as per the given fractions.

GCF of 870,5745 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 834,8957

LCM of Fractions 834/870,8957/5745 is 7470138/15

Given numbers has no common factors except 1. So, there LCM is their product i.e 7470138

Least Common Multiple of 834,8957 with GCF Formula

Least Common Multiple of 834,8957 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 834,8957 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(834,8957) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(834,8957) x common factors =1 x 1 = 1

LCM(834,8957) = ( 834 × 8957 ) / 1

LCM(834,8957) = 7470138 / 1

LCM(834,8957) = 7470138


Lets's calculate GCF of 870,5745

3 870, 5745
5 290, 1915
58, 383

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7470138/15

Therefore the LCM of Fractions 834/870,8957/5745 is 7470138/15

Greatest Common Factor of 870,5745 By Matching Biggest Common Factor Method

Greatest Common Factor of 870,5745 By Matching Biggest Common Factor Method

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Factors of 5745

List of positive integer factors of 5745 that divides 5745 without a remainder.

1,3,5,15,383,1149,1915,5745

Greatest Common Factor

We found the factors 870,5745 . The biggest common factor number is the GCF number.
So the greatest common factor 870,5745 is 15.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 834/870, 8957/5745

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 834/870, 8957/5745?

Answer: LCM of Numerators as per given numbers 834/870, 8957/5745 is

LCM of Numerators i.e. for 834,8957 is 7470138

GCF of denominators i.e. for 870,5745 is 15.

Thus, LCM of Fractions is 7470138/15.Finally, LCM of Fractions for 834/870, 8957/5745 is 7470138/15.