Least Common Multiple of 746/17, 416/14, 305/245

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 746/17, 416/14, 305/245 quickly i.e. 47326240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 746/17, 416/14, 305/245 is 47326240.

LCM(746/17, 416/14, 305/245) = 47326240

LCM of 746/17, 416/14, 305/245

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 746/17,416/14,305/245

Given numbers are 746/17,416/14,305/245

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 746,416,305

Least Common Multiple of Numerators i.e. LCM of 746,416,305 is 47326240.

GCF of Denominators means GCF of 17,14,245 as per the given fractions.

GCF of 17,14,245 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 746,416,305

LCM of Fractions 746/17,416/14,305/245 is 47326240

2 746, 416, 305
373, 208, 305

∴ So the LCM of the given numbers is 2 x 373 x 208 x 305 = 47326240

Least Common Multiple of 746,416,305 with GCF Formula

Least Common Multiple of 746,416,305 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 746,416,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(746,416,305) = 1

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

GCF(746,416,305) x common factors =1 x 2 = 2

LCM(746,416,305) = ( 746 × 416 × 305 ) / 2

LCM(746,416,305) = 94652480 / 2

LCM(746,416,305) = 47326240


Lets's calculate GCF of 17,14,245

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47326240/1

Therefore the LCM of Fractions 746/17,416/14,305/245 is 47326240

Greatest Common Factor of 17,14,245 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,14,245 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

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 17,14,245 . The biggest common factor number is the GCF number.
So the greatest common factor 17,14,245 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 746/17, 416/14, 305/245

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 746/17, 416/14, 305/245?

Answer: LCM of Numerators as per given numbers 746/17, 416/14, 305/245 is

LCM of Numerators i.e. for 746,416,305 is 47326240

GCF of denominators i.e. for 17,14,245 is 1.

Thus, LCM of Fractions is 47326240.Finally, LCM of Fractions for 746/17, 416/14, 305/245 is 47326240.