Least Common Multiple of 31/232, 880/958, 784/978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/232, 880/958, 784/978 quickly i.e. 668360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/232, 880/958, 784/978 is 668360.

LCM(31/232, 880/958, 784/978) = 668360

LCM of 31/232, 880/958, 784/978

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 31/232,880/958,784/978

Given numbers are 31/232,880/958,784/978

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 31,880,784

Least Common Multiple of Numerators i.e. LCM of 31,880,784 is 1336720.

GCF of Denominators means GCF of 232,958,978 as per the given fractions.

GCF of 232,958,978 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,880,784

LCM of Fractions 31/232,880/958,784/978 is 668360

2 31, 880, 784
2 31, 440, 392
2 31, 220, 196
2 31, 110, 98
31, 55, 49

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 31 x 55 x 49 = 1336720

Least Common Multiple of 31,880,784 with GCF Formula

Least Common Multiple of 31,880,784 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 31,880,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,880,784) = 1

common factors(in case of two or more numbers have common factors) = 16

GCF(31,880,784) x common factors =1 x 16 = 16

LCM(31,880,784) = ( 31 × 880 × 784 ) / 16

LCM(31,880,784) = 21387520 / 16

LCM(31,880,784) = 1336720


Lets's calculate GCF of 232,958,978

2 232, 958, 978
116, 479, 489

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1336720/2

Therefore the LCM of Fractions 31/232,880/958,784/978 is 668360

Greatest Common Factor of 232,958,978 By Matching Biggest Common Factor Method

Greatest Common Factor of 232,958,978 By Matching Biggest Common Factor Method

Factors of 232

List of positive integer factors of 232 that divides 232 without a remainder.

1,2,4,8,29,58,116,232

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1,2,479,958

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Greatest Common Factor

We found the factors 232,958,978 . The biggest common factor number is the GCF number.
So the greatest common factor 232,958,978 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 31/232, 880/958, 784/978

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 31/232, 880/958, 784/978?

Answer: LCM of Numerators as per given numbers 31/232, 880/958, 784/978 is

LCM of Numerators i.e. for 31,880,784 is 1336720

GCF of denominators i.e. for 232,958,978 is 2.

Thus, LCM of Fractions is 668360.Finally, LCM of Fractions for 31/232, 880/958, 784/978 is 668360.