Least Common Multiple of 101/265, 1775/689

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 101/265, 1775/689 quickly i.e. 179275/53 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 101/265, 1775/689 is 179275/53.

LCM(101/265, 1775/689) = 179275/53

LCM of 101/265, 1775/689

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 101/265,1775/689

Given numbers are 101/265,1775/689

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 101,1775

Least Common Multiple of Numerators i.e. LCM of 101,1775 is 179275.

GCF of Denominators means GCF of 265,689 as per the given fractions.

GCF of 265,689 is 53 as it is the largest common factor for these numbers.

Lets's calculate LCM of 101,1775

LCM of Fractions 101/265,1775/689 is 179275/53

Given numbers has no common factors except 1. So, there LCM is their product i.e 179275

Least Common Multiple of 101,1775 with GCF Formula

Least Common Multiple of 101,1775 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 101,1775 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(101,1775) = 1

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

GCF(101,1775) x common factors =1 x 1 = 1

LCM(101,1775) = ( 101 × 1775 ) / 1

LCM(101,1775) = 179275 / 1

LCM(101,1775) = 179275


Lets's calculate GCF of 265,689

53 265, 689
5, 13

∴ So the GCF of the given numbers is 53 = 53

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 179275/53

Therefore the LCM of Fractions 101/265,1775/689 is 179275/53

Greatest Common Factor of 265,689 By Matching Biggest Common Factor Method

Greatest Common Factor of 265,689 By Matching Biggest Common Factor Method

Factors of 265

List of positive integer factors of 265 that divides 265 without a remainder.

1,5,53,265

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Greatest Common Factor

We found the factors 265,689 . The biggest common factor number is the GCF number.
So the greatest common factor 265,689 is 53.


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 101/265, 1775/689

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 101/265, 1775/689?

Answer: LCM of Numerators as per given numbers 101/265, 1775/689 is

LCM of Numerators i.e. for 101,1775 is 179275

GCF of denominators i.e. for 265,689 is 53.

Thus, LCM of Fractions is 179275/53.Finally, LCM of Fractions for 101/265, 1775/689 is 179275/53.