Least Common Multiple of 121/689, 3178/2546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 121/689, 3178/2546 quickly i.e. 384538 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 121/689, 3178/2546 is 384538.

LCM(121/689, 3178/2546) = 384538

LCM of 121/689, 3178/2546

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 121/689,3178/2546

Given numbers are 121/689,3178/2546

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 121,3178

Least Common Multiple of Numerators i.e. LCM of 121,3178 is 384538.

GCF of Denominators means GCF of 689,2546 as per the given fractions.

GCF of 689,2546 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 121,3178

LCM of Fractions 121/689,3178/2546 is 384538

Given numbers has no common factors except 1. So, there LCM is their product i.e 384538

Least Common Multiple of 121,3178 with GCF Formula

Least Common Multiple of 121,3178 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 121,3178 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(121,3178) = 1

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

GCF(121,3178) x common factors =1 x 1 = 1

LCM(121,3178) = ( 121 × 3178 ) / 1

LCM(121,3178) = 384538 / 1

LCM(121,3178) = 384538


Lets's calculate GCF of 689,2546

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 384538/1

Therefore the LCM of Fractions 121/689,3178/2546 is 384538

Greatest Common Factor of 689,2546 By Matching Biggest Common Factor Method

Greatest Common Factor of 689,2546 By Matching Biggest Common Factor Method

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Factors of 2546

List of positive integer factors of 2546 that divides 2546 without a remainder.

1,2,19,38,67,134,1273,2546

Greatest Common Factor

We found the factors 689,2546 . The biggest common factor number is the GCF number.
So the greatest common factor 689,2546 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 121/689, 3178/2546

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 121/689, 3178/2546?

Answer: LCM of Numerators as per given numbers 121/689, 3178/2546 is

LCM of Numerators i.e. for 121,3178 is 384538

GCF of denominators i.e. for 689,2546 is 1.

Thus, LCM of Fractions is 384538.Finally, LCM of Fractions for 121/689, 3178/2546 is 384538.