Least Common Multiple of 71/348, 91/680, 210/174

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/348, 91/680, 210/174 quickly i.e. 96915 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/348, 91/680, 210/174 is 96915.

LCM(71/348, 91/680, 210/174) = 96915

LCM of 71/348, 91/680, 210/174

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 71/348,91/680,210/174

Given numbers are 71/348,91/680,210/174

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 71,91,210

Least Common Multiple of Numerators i.e. LCM of 71,91,210 is 193830.

GCF of Denominators means GCF of 348,680,174 as per the given fractions.

GCF of 348,680,174 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,91,210

LCM of Fractions 71/348,91/680,210/174 is 96915

7 71, 91, 210
71, 13, 30

∴ So the LCM of the given numbers is 7 x 71 x 13 x 30 = 193830

Least Common Multiple of 71,91,210 with GCF Formula

Least Common Multiple of 71,91,210 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 71,91,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,91,210) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(71,91,210) x common factors =1 x 7 = 7

LCM(71,91,210) = ( 71 × 91 × 210 ) / 7

LCM(71,91,210) = 1356810 / 7

LCM(71,91,210) = 193830


Lets's calculate GCF of 348,680,174

2 348, 680, 174
174, 340, 87

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 193830/2

Therefore the LCM of Fractions 71/348,91/680,210/174 is 96915

Greatest Common Factor of 348,680,174 By Matching Biggest Common Factor Method

Greatest Common Factor of 348,680,174 By Matching Biggest Common Factor Method

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Greatest Common Factor

We found the factors 348,680,174 . The biggest common factor number is the GCF number.
So the greatest common factor 348,680,174 is 2.


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 71/348, 91/680, 210/174

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 71/348, 91/680, 210/174?

Answer: LCM of Numerators as per given numbers 71/348, 91/680, 210/174 is

LCM of Numerators i.e. for 71,91,210 is 193830

GCF of denominators i.e. for 348,680,174 is 2.

Thus, LCM of Fractions is 96915.Finally, LCM of Fractions for 71/348, 91/680, 210/174 is 96915.