Least Common Multiple of 1/503, 37/510, 75/295

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1/503, 37/510, 75/295 quickly i.e. 2775 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1/503, 37/510, 75/295 is 2775.

LCM(1/503, 37/510, 75/295) = 2775

LCM of 1/503, 37/510, 75/295

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 1/503,37/510,75/295

Given numbers are 1/503,37/510,75/295

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 1,37,75

Least Common Multiple of Numerators i.e. LCM of 1,37,75 is 2775.

GCF of Denominators means GCF of 503,510,295 as per the given fractions.

GCF of 503,510,295 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1,37,75

LCM of Fractions 1/503,37/510,75/295 is 2775

Given numbers has no common factors except 1. So, there LCM is their product i.e 2775

Least Common Multiple of 1,37,75 with GCF Formula

Least Common Multiple of 1,37,75 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 1,37,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1,37,75) = 1

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

GCF(1,37,75) x common factors =1 x 1 = 1

LCM(1,37,75) = ( 1 × 37 × 75 ) / 1

LCM(1,37,75) = 2775 / 1

LCM(1,37,75) = 2775


Lets's calculate GCF of 503,510,295

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2775/1

Therefore the LCM of Fractions 1/503,37/510,75/295 is 2775

Greatest Common Factor of 503,510,295 By Matching Biggest Common Factor Method

Greatest Common Factor of 503,510,295 By Matching Biggest Common Factor Method

Factors of 503

List of positive integer factors of 503 that divides 503 without a remainder.

1,503

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Factors of 295

List of positive integer factors of 295 that divides 295 without a remainder.

1,5,59,295

Greatest Common Factor

We found the factors 503,510,295 . The biggest common factor number is the GCF number.
So the greatest common factor 503,510,295 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 1/503, 37/510, 75/295

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 1/503, 37/510, 75/295?

Answer: LCM of Numerators as per given numbers 1/503, 37/510, 75/295 is

LCM of Numerators i.e. for 1,37,75 is 2775

GCF of denominators i.e. for 503,510,295 is 1.

Thus, LCM of Fractions is 2775.Finally, LCM of Fractions for 1/503, 37/510, 75/295 is 2775.