Least Common Multiple of 770/254, 503/298

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 770/254, 503/298 quickly i.e. 193655 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 770/254, 503/298 is 193655.

LCM(770/254, 503/298) = 193655

LCM of 770/254, 503/298

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 770/254,503/298

Given numbers are 770/254,503/298

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 770,503

Least Common Multiple of Numerators i.e. LCM of 770,503 is 387310.

GCF of Denominators means GCF of 254,298 as per the given fractions.

GCF of 254,298 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 770,503

LCM of Fractions 770/254,503/298 is 193655

Given numbers has no common factors except 1. So, there LCM is their product i.e 387310

Least Common Multiple of 770,503 with GCF Formula

Least Common Multiple of 770,503 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 770,503 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(770,503) = 1

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

GCF(770,503) x common factors =1 x 1 = 1

LCM(770,503) = ( 770 × 503 ) / 1

LCM(770,503) = 387310 / 1

LCM(770,503) = 387310


Lets's calculate GCF of 254,298

2 254, 298
127, 149

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 387310/2

Therefore the LCM of Fractions 770/254,503/298 is 193655

Greatest Common Factor of 254,298 By Matching Biggest Common Factor Method

Greatest Common Factor of 254,298 By Matching Biggest Common Factor Method

Factors of 254

List of positive integer factors of 254 that divides 254 without a remainder.

1,2,127,254

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Greatest Common Factor

We found the factors 254,298 . The biggest common factor number is the GCF number.
So the greatest common factor 254,298 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 770/254, 503/298

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 770/254, 503/298?

Answer: LCM of Numerators as per given numbers 770/254, 503/298 is

LCM of Numerators i.e. for 770,503 is 387310

GCF of denominators i.e. for 254,298 is 2.

Thus, LCM of Fractions is 193655.Finally, LCM of Fractions for 770/254, 503/298 is 193655.