Least Common Multiple of 85/496, 39/305, 454/726

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/496, 39/305, 454/726 quickly i.e. 1505010 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/496, 39/305, 454/726 is 1505010.

LCM(85/496, 39/305, 454/726) = 1505010

LCM of 85/496, 39/305, 454/726

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 85/496,39/305,454/726

Given numbers are 85/496,39/305,454/726

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 85,39,454

Least Common Multiple of Numerators i.e. LCM of 85,39,454 is 1505010.

GCF of Denominators means GCF of 496,305,726 as per the given fractions.

GCF of 496,305,726 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,39,454

LCM of Fractions 85/496,39/305,454/726 is 1505010

Given numbers has no common factors except 1. So, there LCM is their product i.e 1505010

Least Common Multiple of 85,39,454 with GCF Formula

Least Common Multiple of 85,39,454 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 85,39,454 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,39,454) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(85,39,454) x common factors =1 x 1 = 1

LCM(85,39,454) = ( 85 × 39 × 454 ) / 1

LCM(85,39,454) = 1505010 / 1

LCM(85,39,454) = 1505010


Lets's calculate GCF of 496,305,726

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1505010/1

Therefore the LCM of Fractions 85/496,39/305,454/726 is 1505010

Greatest Common Factor of 496,305,726 By Matching Biggest Common Factor Method

Greatest Common Factor of 496,305,726 By Matching Biggest Common Factor Method

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Factors of 305

List of positive integer factors of 305 that divides 305 without a remainder.

1,5,61,305

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Greatest Common Factor

We found the factors 496,305,726 . The biggest common factor number is the GCF number.
So the greatest common factor 496,305,726 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 85/496, 39/305, 454/726

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 85/496, 39/305, 454/726?

Answer: LCM of Numerators as per given numbers 85/496, 39/305, 454/726 is

LCM of Numerators i.e. for 85,39,454 is 1505010

GCF of denominators i.e. for 496,305,726 is 1.

Thus, LCM of Fractions is 1505010.Finally, LCM of Fractions for 85/496, 39/305, 454/726 is 1505010.