Least Common Multiple of 307/548, 225/669, 250/185

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 307/548, 225/669, 250/185 quickly i.e. 690750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 307/548, 225/669, 250/185 is 690750.

LCM(307/548, 225/669, 250/185) = 690750

LCM of 307/548, 225/669, 250/185

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 307/548,225/669,250/185

Given numbers are 307/548,225/669,250/185

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 307,225,250

Least Common Multiple of Numerators i.e. LCM of 307,225,250 is 690750.

GCF of Denominators means GCF of 548,669,185 as per the given fractions.

GCF of 548,669,185 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 307,225,250

LCM of Fractions 307/548,225/669,250/185 is 690750

5 307, 225, 250
5 307, 45, 50
307, 9, 10

∴ So the LCM of the given numbers is 5 x 5 x 307 x 9 x 10 = 690750

Least Common Multiple of 307,225,250 with GCF Formula

Least Common Multiple of 307,225,250 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 307,225,250 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(307,225,250) = 1

common factors(in case of two or more numbers have common factors) = 25

GCF(307,225,250) x common factors =1 x 25 = 25

LCM(307,225,250) = ( 307 × 225 × 250 ) / 25

LCM(307,225,250) = 17268750 / 25

LCM(307,225,250) = 690750


Lets's calculate GCF of 548,669,185

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 690750/1

Therefore the LCM of Fractions 307/548,225/669,250/185 is 690750

Greatest Common Factor of 548,669,185 By Matching Biggest Common Factor Method

Greatest Common Factor of 548,669,185 By Matching Biggest Common Factor Method

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Factors of 669

List of positive integer factors of 669 that divides 669 without a remainder.

1,3,223,669

Factors of 185

List of positive integer factors of 185 that divides 185 without a remainder.

1,5,37,185

Greatest Common Factor

We found the factors 548,669,185 . The biggest common factor number is the GCF number.
So the greatest common factor 548,669,185 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 307/548, 225/669, 250/185

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 307/548, 225/669, 250/185?

Answer: LCM of Numerators as per given numbers 307/548, 225/669, 250/185 is

LCM of Numerators i.e. for 307,225,250 is 690750

GCF of denominators i.e. for 548,669,185 is 1.

Thus, LCM of Fractions is 690750.Finally, LCM of Fractions for 307/548, 225/669, 250/185 is 690750.