Least Common Multiple of 687/55, 148/1589

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 687/55, 148/1589 quickly i.e. 101676 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 687/55, 148/1589 is 101676.

LCM(687/55, 148/1589) = 101676

LCM of 687/55, 148/1589

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 687/55,148/1589

Given numbers are 687/55,148/1589

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 687,148

Least Common Multiple of Numerators i.e. LCM of 687,148 is 101676.

GCF of Denominators means GCF of 55,1589 as per the given fractions.

GCF of 55,1589 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 687,148

LCM of Fractions 687/55,148/1589 is 101676

Given numbers has no common factors except 1. So, there LCM is their product i.e 101676

Least Common Multiple of 687,148 with GCF Formula

Least Common Multiple of 687,148 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 687,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(687,148) = 1

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

GCF(687,148) x common factors =1 x 1 = 1

LCM(687,148) = ( 687 × 148 ) / 1

LCM(687,148) = 101676 / 1

LCM(687,148) = 101676


Lets's calculate GCF of 55,1589

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 101676/1

Therefore the LCM of Fractions 687/55,148/1589 is 101676

Greatest Common Factor of 55,1589 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,1589 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 1589

List of positive integer factors of 1589 that divides 1589 without a remainder.

1,7,227,1589

Greatest Common Factor

We found the factors 55,1589 . The biggest common factor number is the GCF number.
So the greatest common factor 55,1589 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 687/55, 148/1589

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 687/55, 148/1589?

Answer: LCM of Numerators as per given numbers 687/55, 148/1589 is

LCM of Numerators i.e. for 687,148 is 101676

GCF of denominators i.e. for 55,1589 is 1.

Thus, LCM of Fractions is 101676.Finally, LCM of Fractions for 687/55, 148/1589 is 101676.