Least Common Multiple of 713/34, 416/23, 226/614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 713/34, 416/23, 226/614 quickly i.e. 33516704 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 713/34, 416/23, 226/614 is 33516704.

LCM(713/34, 416/23, 226/614) = 33516704

LCM of 713/34, 416/23, 226/614

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 713/34,416/23,226/614

Given numbers are 713/34,416/23,226/614

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 713,416,226

Least Common Multiple of Numerators i.e. LCM of 713,416,226 is 33516704.

GCF of Denominators means GCF of 34,23,614 as per the given fractions.

GCF of 34,23,614 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 713,416,226

LCM of Fractions 713/34,416/23,226/614 is 33516704

2 713, 416, 226
713, 208, 113

∴ So the LCM of the given numbers is 2 x 713 x 208 x 113 = 33516704

Least Common Multiple of 713,416,226 with GCF Formula

Least Common Multiple of 713,416,226 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 713,416,226 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(713,416,226) = 1

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

GCF(713,416,226) x common factors =1 x 2 = 2

LCM(713,416,226) = ( 713 × 416 × 226 ) / 2

LCM(713,416,226) = 67033408 / 2

LCM(713,416,226) = 33516704


Lets's calculate GCF of 34,23,614

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33516704/1

Therefore the LCM of Fractions 713/34,416/23,226/614 is 33516704

Greatest Common Factor of 34,23,614 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,23,614 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Greatest Common Factor

We found the factors 34,23,614 . The biggest common factor number is the GCF number.
So the greatest common factor 34,23,614 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 713/34, 416/23, 226/614

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 713/34, 416/23, 226/614?

Answer: LCM of Numerators as per given numbers 713/34, 416/23, 226/614 is

LCM of Numerators i.e. for 713,416,226 is 33516704

GCF of denominators i.e. for 34,23,614 is 1.

Thus, LCM of Fractions is 33516704.Finally, LCM of Fractions for 713/34, 416/23, 226/614 is 33516704.