Least Common Multiple of 80/266, 70/496, 241/314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/266, 70/496, 241/314 quickly i.e. 67480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/266, 70/496, 241/314 is 67480.

LCM(80/266, 70/496, 241/314) = 67480

LCM of 80/266, 70/496, 241/314

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 80/266,70/496,241/314

Given numbers are 80/266,70/496,241/314

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 80,70,241

Least Common Multiple of Numerators i.e. LCM of 80,70,241 is 134960.

GCF of Denominators means GCF of 266,496,314 as per the given fractions.

GCF of 266,496,314 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,70,241

LCM of Fractions 80/266,70/496,241/314 is 67480

2 80, 70, 241
5 40, 35, 241
8, 7, 241

∴ So the LCM of the given numbers is 2 x 5 x 8 x 7 x 241 = 134960

Least Common Multiple of 80,70,241 with GCF Formula

Least Common Multiple of 80,70,241 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 80,70,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,70,241) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(80,70,241) x common factors =1 x 10 = 10

LCM(80,70,241) = ( 80 × 70 × 241 ) / 10

LCM(80,70,241) = 1349600 / 10

LCM(80,70,241) = 134960


Lets's calculate GCF of 266,496,314

2 266, 496, 314
133, 248, 157

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 134960/2

Therefore the LCM of Fractions 80/266,70/496,241/314 is 67480

Greatest Common Factor of 266,496,314 By Matching Biggest Common Factor Method

Greatest Common Factor of 266,496,314 By Matching Biggest Common Factor Method

Factors of 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Greatest Common Factor

We found the factors 266,496,314 . The biggest common factor number is the GCF number.
So the greatest common factor 266,496,314 is 2.


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 80/266, 70/496, 241/314

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 80/266, 70/496, 241/314?

Answer: LCM of Numerators as per given numbers 80/266, 70/496, 241/314 is

LCM of Numerators i.e. for 80,70,241 is 134960

GCF of denominators i.e. for 266,496,314 is 2.

Thus, LCM of Fractions is 67480.Finally, LCM of Fractions for 80/266, 70/496, 241/314 is 67480.