Least Common Multiple of 146/161, 689/375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 146/161, 689/375 quickly i.e. 100594 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 146/161, 689/375 is 100594.

LCM(146/161, 689/375) = 100594

LCM of 146/161, 689/375

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 146/161,689/375

Given numbers are 146/161,689/375

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 146,689

Least Common Multiple of Numerators i.e. LCM of 146,689 is 100594.

GCF of Denominators means GCF of 161,375 as per the given fractions.

GCF of 161,375 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 146,689

LCM of Fractions 146/161,689/375 is 100594

Given numbers has no common factors except 1. So, there LCM is their product i.e 100594

Least Common Multiple of 146,689 with GCF Formula

Least Common Multiple of 146,689 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 146,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(146,689) = 1

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

GCF(146,689) x common factors =1 x 1 = 1

LCM(146,689) = ( 146 × 689 ) / 1

LCM(146,689) = 100594 / 1

LCM(146,689) = 100594


Lets's calculate GCF of 161,375

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 100594/1

Therefore the LCM of Fractions 146/161,689/375 is 100594

Greatest Common Factor of 161,375 By Matching Biggest Common Factor Method

Greatest Common Factor of 161,375 By Matching Biggest Common Factor Method

Factors of 161

List of positive integer factors of 161 that divides 161 without a remainder.

1,7,23,161

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Greatest Common Factor

We found the factors 161,375 . The biggest common factor number is the GCF number.
So the greatest common factor 161,375 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 146/161, 689/375

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 146/161, 689/375?

Answer: LCM of Numerators as per given numbers 146/161, 689/375 is

LCM of Numerators i.e. for 146,689 is 100594

GCF of denominators i.e. for 161,375 is 1.

Thus, LCM of Fractions is 100594.Finally, LCM of Fractions for 146/161, 689/375 is 100594.