Least Common Multiple of 625/337, 311/306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 625/337, 311/306 quickly i.e. 194375 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 625/337, 311/306 is 194375.

LCM(625/337, 311/306) = 194375

LCM of 625/337, 311/306

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 625/337,311/306

Given numbers are 625/337,311/306

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 625,311

Least Common Multiple of Numerators i.e. LCM of 625,311 is 194375.

GCF of Denominators means GCF of 337,306 as per the given fractions.

GCF of 337,306 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 625,311

LCM of Fractions 625/337,311/306 is 194375

Given numbers has no common factors except 1. So, there LCM is their product i.e 194375

Least Common Multiple of 625,311 with GCF Formula

Least Common Multiple of 625,311 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 625,311 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(625,311) = 1

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

GCF(625,311) x common factors =1 x 1 = 1

LCM(625,311) = ( 625 × 311 ) / 1

LCM(625,311) = 194375 / 1

LCM(625,311) = 194375


Lets's calculate GCF of 337,306

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 194375/1

Therefore the LCM of Fractions 625/337,311/306 is 194375

Greatest Common Factor of 337,306 By Matching Biggest Common Factor Method

Greatest Common Factor of 337,306 By Matching Biggest Common Factor Method

Factors of 337

List of positive integer factors of 337 that divides 337 without a remainder.

1,337

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Greatest Common Factor

We found the factors 337,306 . The biggest common factor number is the GCF number.
So the greatest common factor 337,306 is 1.


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 625/337, 311/306

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 625/337, 311/306?

Answer: LCM of Numerators as per given numbers 625/337, 311/306 is

LCM of Numerators i.e. for 625,311 is 194375

GCF of denominators i.e. for 337,306 is 1.

Thus, LCM of Fractions is 194375.Finally, LCM of Fractions for 625/337, 311/306 is 194375.