Least Common Multiple of 85/544, 1749/7547

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/544, 1749/7547 quickly i.e. 148665 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/544, 1749/7547 is 148665.

LCM(85/544, 1749/7547) = 148665

LCM of 85/544, 1749/7547

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 85/544,1749/7547

Given numbers are 85/544,1749/7547

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 85,1749

Least Common Multiple of Numerators i.e. LCM of 85,1749 is 148665.

GCF of Denominators means GCF of 544,7547 as per the given fractions.

GCF of 544,7547 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,1749

LCM of Fractions 85/544,1749/7547 is 148665

Given numbers has no common factors except 1. So, there LCM is their product i.e 148665

Least Common Multiple of 85,1749 with GCF Formula

Least Common Multiple of 85,1749 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 85,1749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,1749) = 1

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

GCF(85,1749) x common factors =1 x 1 = 1

LCM(85,1749) = ( 85 × 1749 ) / 1

LCM(85,1749) = 148665 / 1

LCM(85,1749) = 148665


Lets's calculate GCF of 544,7547

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 148665/1

Therefore the LCM of Fractions 85/544,1749/7547 is 148665

Greatest Common Factor of 544,7547 By Matching Biggest Common Factor Method

Greatest Common Factor of 544,7547 By Matching Biggest Common Factor Method

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

Factors of 7547

List of positive integer factors of 7547 that divides 7547 without a remainder.

1,7547

Greatest Common Factor

We found the factors 544,7547 . The biggest common factor number is the GCF number.
So the greatest common factor 544,7547 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 85/544, 1749/7547

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 85/544, 1749/7547?

Answer: LCM of Numerators as per given numbers 85/544, 1749/7547 is

LCM of Numerators i.e. for 85,1749 is 148665

GCF of denominators i.e. for 544,7547 is 1.

Thus, LCM of Fractions is 148665.Finally, LCM of Fractions for 85/544, 1749/7547 is 148665.