Least Common Multiple of 28/45, 14/96, 49/51, 83/340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/45, 14/96, 49/51, 83/340 quickly i.e. 16268 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/45, 14/96, 49/51, 83/340 is 16268.

LCM(28/45, 14/96, 49/51, 83/340) = 16268

LCM of 28/45, 14/96, 49/51, 83/340

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 28/45,14/96,49/51,83/340

Given numbers are 28/45,14/96,49/51,83/340

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 28,14,49,83

Least Common Multiple of Numerators i.e. LCM of 28,14,49,83 is 16268.

GCF of Denominators means GCF of 45,96,51,340 as per the given fractions.

GCF of 45,96,51,340 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,14,49,83

LCM of Fractions 28/45,14/96,49/51,83/340 is 16268

2 28, 14, 49, 83
7 14, 7, 49, 83
2, 1, 7, 83

∴ So the LCM of the given numbers is 2 x 7 x 2 x 1 x 7 x 83 = 16268

Least Common Multiple of 28,14,49,83 with GCF Formula

Least Common Multiple of 28,14,49,83 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 28,14,49,83 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,14,49,83) = 1

common factors(in case of two or more numbers have common factors) = 98

GCF(28,14,49,83) x common factors =1 x 98 = 98

LCM(28,14,49,83) = ( 28 × 14 × 49 × 83 ) / 98

LCM(28,14,49,83) = 1594264 / 98

LCM(28,14,49,83) = 16268


Lets's calculate GCF of 45,96,51,340

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16268/1

Therefore the LCM of Fractions 28/45,14/96,49/51,83/340 is 16268

Greatest Common Factor of 45,96,51,340 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,96,51,340 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Greatest Common Factor

We found the factors 45,96,51,340 . The biggest common factor number is the GCF number.
So the greatest common factor 45,96,51,340 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 28/45, 14/96, 49/51, 83/340

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 28/45, 14/96, 49/51, 83/340?

Answer: LCM of Numerators as per given numbers 28/45, 14/96, 49/51, 83/340 is

LCM of Numerators i.e. for 28,14,49,83 is 16268

GCF of denominators i.e. for 45,96,51,340 is 1.

Thus, LCM of Fractions is 16268.Finally, LCM of Fractions for 28/45, 14/96, 49/51, 83/340 is 16268.