Least Common Multiple of 146/97, 589/2077

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 146/97, 589/2077 quickly i.e. 85994 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 146/97, 589/2077 is 85994.

LCM(146/97, 589/2077) = 85994

LCM of 146/97, 589/2077

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 146/97,589/2077

Given numbers are 146/97,589/2077

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 146,589

Least Common Multiple of Numerators i.e. LCM of 146,589 is 85994.

GCF of Denominators means GCF of 97,2077 as per the given fractions.

GCF of 97,2077 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 146,589

LCM of Fractions 146/97,589/2077 is 85994

Given numbers has no common factors except 1. So, there LCM is their product i.e 85994

Least Common Multiple of 146,589 with GCF Formula

Least Common Multiple of 146,589 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 146,589 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(146,589) = 1

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

GCF(146,589) x common factors =1 x 1 = 1

LCM(146,589) = ( 146 × 589 ) / 1

LCM(146,589) = 85994 / 1

LCM(146,589) = 85994


Lets's calculate GCF of 97,2077

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 85994/1

Therefore the LCM of Fractions 146/97,589/2077 is 85994

Greatest Common Factor of 97,2077 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,2077 By Matching Biggest Common Factor Method

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 2077

List of positive integer factors of 2077 that divides 2077 without a remainder.

1,31,67,2077

Greatest Common Factor

We found the factors 97,2077 . The biggest common factor number is the GCF number.
So the greatest common factor 97,2077 is 1.


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 146/97, 589/2077

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 146/97, 589/2077?

Answer: LCM of Numerators as per given numbers 146/97, 589/2077 is

LCM of Numerators i.e. for 146,589 is 85994

GCF of denominators i.e. for 97,2077 is 1.

Thus, LCM of Fractions is 85994.Finally, LCM of Fractions for 146/97, 589/2077 is 85994.