Least Common Multiple of 914/31, 471/16, 626/114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 914/31, 471/16, 626/114 quickly i.e. 134744622 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 914/31, 471/16, 626/114 is 134744622.

LCM(914/31, 471/16, 626/114) = 134744622

LCM of 914/31, 471/16, 626/114

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 914/31,471/16,626/114

Given numbers are 914/31,471/16,626/114

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 914,471,626

Least Common Multiple of Numerators i.e. LCM of 914,471,626 is 134744622.

GCF of Denominators means GCF of 31,16,114 as per the given fractions.

GCF of 31,16,114 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 914,471,626

LCM of Fractions 914/31,471/16,626/114 is 134744622

2 914, 471, 626
457, 471, 313

∴ So the LCM of the given numbers is 2 x 457 x 471 x 313 = 134744622

Least Common Multiple of 914,471,626 with GCF Formula

Least Common Multiple of 914,471,626 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 914,471,626 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(914,471,626) = 1

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

GCF(914,471,626) x common factors =1 x 2 = 2

LCM(914,471,626) = ( 914 × 471 × 626 ) / 2

LCM(914,471,626) = 269489244 / 2

LCM(914,471,626) = 134744622


Lets's calculate GCF of 31,16,114

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 134744622/1

Therefore the LCM of Fractions 914/31,471/16,626/114 is 134744622

Greatest Common Factor of 31,16,114 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,16,114 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Greatest Common Factor

We found the factors 31,16,114 . The biggest common factor number is the GCF number.
So the greatest common factor 31,16,114 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 914/31, 471/16, 626/114

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 914/31, 471/16, 626/114?

Answer: LCM of Numerators as per given numbers 914/31, 471/16, 626/114 is

LCM of Numerators i.e. for 914,471,626 is 134744622

GCF of denominators i.e. for 31,16,114 is 1.

Thus, LCM of Fractions is 134744622.Finally, LCM of Fractions for 914/31, 471/16, 626/114 is 134744622.