Least Common Multiple of 763/882, 177/342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 763/882, 177/342 quickly i.e. 135051/18 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 763/882, 177/342 is 135051/18.

LCM(763/882, 177/342) = 135051/18

LCM of 763/882, 177/342

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 763/882,177/342

Given numbers are 763/882,177/342

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 763,177

Least Common Multiple of Numerators i.e. LCM of 763,177 is 135051.

GCF of Denominators means GCF of 882,342 as per the given fractions.

GCF of 882,342 is 18 as it is the largest common factor for these numbers.

Lets's calculate LCM of 763,177

LCM of Fractions 763/882,177/342 is 135051/18

Given numbers has no common factors except 1. So, there LCM is their product i.e 135051

Least Common Multiple of 763,177 with GCF Formula

Least Common Multiple of 763,177 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 763,177 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(763,177) = 1

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

GCF(763,177) x common factors =1 x 1 = 1

LCM(763,177) = ( 763 × 177 ) / 1

LCM(763,177) = 135051 / 1

LCM(763,177) = 135051


Lets's calculate GCF of 882,342

2 882, 342
3 441, 171
3 147, 57
49, 19

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 135051/18

Therefore the LCM of Fractions 763/882,177/342 is 135051/18

Greatest Common Factor of 882,342 By Matching Biggest Common Factor Method

Greatest Common Factor of 882,342 By Matching Biggest Common Factor Method

Factors of 882

List of positive integer factors of 882 that divides 882 without a remainder.

1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Greatest Common Factor

We found the factors 882,342 . The biggest common factor number is the GCF number.
So the greatest common factor 882,342 is 18.


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 763/882, 177/342

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 763/882, 177/342?

Answer: LCM of Numerators as per given numbers 763/882, 177/342 is

LCM of Numerators i.e. for 763,177 is 135051

GCF of denominators i.e. for 882,342 is 18.

Thus, LCM of Fractions is 135051/18.Finally, LCM of Fractions for 763/882, 177/342 is 135051/18.