Least Common Multiple of 348/370, 1976/1161

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 348/370, 1976/1161 quickly i.e. 171912 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 348/370, 1976/1161 is 171912.

LCM(348/370, 1976/1161) = 171912

LCM of 348/370, 1976/1161

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 348/370,1976/1161

Given numbers are 348/370,1976/1161

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 348,1976

Least Common Multiple of Numerators i.e. LCM of 348,1976 is 171912.

GCF of Denominators means GCF of 370,1161 as per the given fractions.

GCF of 370,1161 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 348,1976

LCM of Fractions 348/370,1976/1161 is 171912

2 348, 1976
2 174, 988
87, 494

∴ So the LCM of the given numbers is 2 x 2 x 87 x 494 = 171912

Least Common Multiple of 348,1976 with GCF Formula

Least Common Multiple of 348,1976 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 348,1976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(348,1976) = 4

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

GCF(348,1976) x common factors =4 x 1 = 4

LCM(348,1976) = ( 348 × 1976 ) / 4

LCM(348,1976) = 687648 / 4

LCM(348,1976) = 171912


Lets's calculate GCF of 370,1161

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 171912/1

Therefore the LCM of Fractions 348/370,1976/1161 is 171912

Greatest Common Factor of 370,1161 By Matching Biggest Common Factor Method

Greatest Common Factor of 370,1161 By Matching Biggest Common Factor Method

Factors of 370

List of positive integer factors of 370 that divides 370 without a remainder.

1,2,5,10,37,74,185,370

Factors of 1161

List of positive integer factors of 1161 that divides 1161 without a remainder.

1,3,9,27,43,129,387,1161

Greatest Common Factor

We found the factors 370,1161 . The biggest common factor number is the GCF number.
So the greatest common factor 370,1161 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 348/370, 1976/1161

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 348/370, 1976/1161?

Answer: LCM of Numerators as per given numbers 348/370, 1976/1161 is

LCM of Numerators i.e. for 348,1976 is 171912

GCF of denominators i.e. for 370,1161 is 1.

Thus, LCM of Fractions is 171912.Finally, LCM of Fractions for 348/370, 1976/1161 is 171912.