Least Common Multiple of 314/267, 320/964, 831/271

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 314/267, 320/964, 831/271 quickly i.e. 41749440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 314/267, 320/964, 831/271 is 41749440.

LCM(314/267, 320/964, 831/271) = 41749440

LCM of 314/267, 320/964, 831/271

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 314/267,320/964,831/271

Given numbers are 314/267,320/964,831/271

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 314,320,831

Least Common Multiple of Numerators i.e. LCM of 314,320,831 is 41749440.

GCF of Denominators means GCF of 267,964,271 as per the given fractions.

GCF of 267,964,271 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 314,320,831

LCM of Fractions 314/267,320/964,831/271 is 41749440

2 314, 320, 831
157, 160, 831

∴ So the LCM of the given numbers is 2 x 157 x 160 x 831 = 41749440

Least Common Multiple of 314,320,831 with GCF Formula

Least Common Multiple of 314,320,831 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 314,320,831 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(314,320,831) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(314,320,831) x common factors =1 x 2 = 2

LCM(314,320,831) = ( 314 × 320 × 831 ) / 2

LCM(314,320,831) = 83498880 / 2

LCM(314,320,831) = 41749440


Lets's calculate GCF of 267,964,271

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41749440/1

Therefore the LCM of Fractions 314/267,320/964,831/271 is 41749440

Greatest Common Factor of 267,964,271 By Matching Biggest Common Factor Method

Greatest Common Factor of 267,964,271 By Matching Biggest Common Factor Method

Factors of 267

List of positive integer factors of 267 that divides 267 without a remainder.

1,3,89,267

Factors of 964

List of positive integer factors of 964 that divides 964 without a remainder.

1,2,4,241,482,964

Factors of 271

List of positive integer factors of 271 that divides 271 without a remainder.

1,271

Greatest Common Factor

We found the factors 267,964,271 . The biggest common factor number is the GCF number.
So the greatest common factor 267,964,271 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 314/267, 320/964, 831/271

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 314/267, 320/964, 831/271?

Answer: LCM of Numerators as per given numbers 314/267, 320/964, 831/271 is

LCM of Numerators i.e. for 314,320,831 is 41749440

GCF of denominators i.e. for 267,964,271 is 1.

Thus, LCM of Fractions is 41749440.Finally, LCM of Fractions for 314/267, 320/964, 831/271 is 41749440.