Least Common Multiple of 869/34, 1128/134

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 869/34, 1128/134 quickly i.e. 490116 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 869/34, 1128/134 is 490116.

LCM(869/34, 1128/134) = 490116

LCM of 869/34, 1128/134

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 869/34,1128/134

Given numbers are 869/34,1128/134

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 869,1128

Least Common Multiple of Numerators i.e. LCM of 869,1128 is 980232.

GCF of Denominators means GCF of 34,134 as per the given fractions.

GCF of 34,134 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 869,1128

LCM of Fractions 869/34,1128/134 is 490116

Given numbers has no common factors except 1. So, there LCM is their product i.e 980232

Least Common Multiple of 869,1128 with GCF Formula

Least Common Multiple of 869,1128 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 869,1128 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(869,1128) = 1

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

GCF(869,1128) x common factors =1 x 1 = 1

LCM(869,1128) = ( 869 × 1128 ) / 1

LCM(869,1128) = 980232 / 1

LCM(869,1128) = 980232


Lets's calculate GCF of 34,134

2 34, 134
17, 67

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 980232/2

Therefore the LCM of Fractions 869/34,1128/134 is 490116

Greatest Common Factor of 34,134 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,134 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 134

List of positive integer factors of 134 that divides 134 without a remainder.

1,2,67,134

Greatest Common Factor

We found the factors 34,134 . The biggest common factor number is the GCF number.
So the greatest common factor 34,134 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 869/34, 1128/134

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 869/34, 1128/134?

Answer: LCM of Numerators as per given numbers 869/34, 1128/134 is

LCM of Numerators i.e. for 869,1128 is 980232

GCF of denominators i.e. for 34,134 is 2.

Thus, LCM of Fractions is 490116.Finally, LCM of Fractions for 869/34, 1128/134 is 490116.