Least Common Multiple of 810/49, 292/129

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 810/49, 292/129 quickly i.e. 118260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 810/49, 292/129 is 118260.

LCM(810/49, 292/129) = 118260

LCM of 810/49, 292/129

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 810/49,292/129

Given numbers are 810/49,292/129

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 810,292

Least Common Multiple of Numerators i.e. LCM of 810,292 is 118260.

GCF of Denominators means GCF of 49,129 as per the given fractions.

GCF of 49,129 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 810,292

LCM of Fractions 810/49,292/129 is 118260

2 810, 292
405, 146

∴ So the LCM of the given numbers is 2 x 405 x 146 = 118260

Least Common Multiple of 810,292 with GCF Formula

Least Common Multiple of 810,292 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 810,292 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(810,292) = 2

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

GCF(810,292) x common factors =2 x 1 = 2

LCM(810,292) = ( 810 × 292 ) / 2

LCM(810,292) = 236520 / 2

LCM(810,292) = 118260


Lets's calculate GCF of 49,129

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 118260/1

Therefore the LCM of Fractions 810/49,292/129 is 118260

Greatest Common Factor of 49,129 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,129 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 129

List of positive integer factors of 129 that divides 129 without a remainder.

1,3,43,129

Greatest Common Factor

We found the factors 49,129 . The biggest common factor number is the GCF number.
So the greatest common factor 49,129 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 810/49, 292/129

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 810/49, 292/129?

Answer: LCM of Numerators as per given numbers 810/49, 292/129 is

LCM of Numerators i.e. for 810,292 is 118260

GCF of denominators i.e. for 49,129 is 1.

Thus, LCM of Fractions is 118260.Finally, LCM of Fractions for 810/49, 292/129 is 118260.