Least Common Multiple of 14/482, 32/868, 880/157

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/482, 32/868, 880/157 quickly i.e. 12320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/482, 32/868, 880/157 is 12320.

LCM(14/482, 32/868, 880/157) = 12320

LCM of 14/482, 32/868, 880/157

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 14/482,32/868,880/157

Given numbers are 14/482,32/868,880/157

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 14,32,880

Least Common Multiple of Numerators i.e. LCM of 14,32,880 is 12320.

GCF of Denominators means GCF of 482,868,157 as per the given fractions.

GCF of 482,868,157 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,32,880

LCM of Fractions 14/482,32/868,880/157 is 12320

2 14, 32, 880
2 7, 16, 440
2 7, 8, 220
2 7, 4, 110
7, 2, 55

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 7 x 2 x 55 = 12320

Least Common Multiple of 14,32,880 with GCF Formula

Least Common Multiple of 14,32,880 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 14,32,880 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,32,880) = 2

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

GCF(14,32,880) x common factors =2 x 16 = 32

LCM(14,32,880) = ( 14 × 32 × 880 ) / 32

LCM(14,32,880) = 394240 / 32

LCM(14,32,880) = 12320


Lets's calculate GCF of 482,868,157

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12320/1

Therefore the LCM of Fractions 14/482,32/868,880/157 is 12320

Greatest Common Factor of 482,868,157 By Matching Biggest Common Factor Method

Greatest Common Factor of 482,868,157 By Matching Biggest Common Factor Method

Factors of 482

List of positive integer factors of 482 that divides 482 without a remainder.

1,2,241,482

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Factors of 157

List of positive integer factors of 157 that divides 157 without a remainder.

1,157

Greatest Common Factor

We found the factors 482,868,157 . The biggest common factor number is the GCF number.
So the greatest common factor 482,868,157 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 14/482, 32/868, 880/157

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 14/482, 32/868, 880/157?

Answer: LCM of Numerators as per given numbers 14/482, 32/868, 880/157 is

LCM of Numerators i.e. for 14,32,880 is 12320

GCF of denominators i.e. for 482,868,157 is 1.

Thus, LCM of Fractions is 12320.Finally, LCM of Fractions for 14/482, 32/868, 880/157 is 12320.