Least Common Multiple of 71/708, 34/987, 116/245

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/708, 34/987, 116/245 quickly i.e. 140012 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/708, 34/987, 116/245 is 140012.

LCM(71/708, 34/987, 116/245) = 140012

LCM of 71/708, 34/987, 116/245

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 71/708,34/987,116/245

Given numbers are 71/708,34/987,116/245

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 71,34,116

Least Common Multiple of Numerators i.e. LCM of 71,34,116 is 140012.

GCF of Denominators means GCF of 708,987,245 as per the given fractions.

GCF of 708,987,245 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,34,116

LCM of Fractions 71/708,34/987,116/245 is 140012

2 71, 34, 116
71, 17, 58

∴ So the LCM of the given numbers is 2 x 71 x 17 x 58 = 140012

Least Common Multiple of 71,34,116 with GCF Formula

Least Common Multiple of 71,34,116 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 71,34,116 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,34,116) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(71,34,116) x common factors =1 x 2 = 2

LCM(71,34,116) = ( 71 × 34 × 116 ) / 2

LCM(71,34,116) = 280024 / 2

LCM(71,34,116) = 140012


Lets's calculate GCF of 708,987,245

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 140012/1

Therefore the LCM of Fractions 71/708,34/987,116/245 is 140012

Greatest Common Factor of 708,987,245 By Matching Biggest Common Factor Method

Greatest Common Factor of 708,987,245 By Matching Biggest Common Factor Method

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Factors of 245

List of positive integer factors of 245 that divides 245 without a remainder.

1,5,7,35,49,245

Greatest Common Factor

We found the factors 708,987,245 . The biggest common factor number is the GCF number.
So the greatest common factor 708,987,245 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 71/708, 34/987, 116/245

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 71/708, 34/987, 116/245?

Answer: LCM of Numerators as per given numbers 71/708, 34/987, 116/245 is

LCM of Numerators i.e. for 71,34,116 is 140012

GCF of denominators i.e. for 708,987,245 is 1.

Thus, LCM of Fractions is 140012.Finally, LCM of Fractions for 71/708, 34/987, 116/245 is 140012.