Least Common Multiple of 93/976, 14/549

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 93/976, 14/549 quickly i.e. 1302/61 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 93/976, 14/549 is 1302/61.

LCM(93/976, 14/549) = 1302/61

LCM of 93/976, 14/549

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 93/976,14/549

Given numbers are 93/976,14/549

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 93,14

Least Common Multiple of Numerators i.e. LCM of 93,14 is 1302.

GCF of Denominators means GCF of 976,549 as per the given fractions.

GCF of 976,549 is 61 as it is the largest common factor for these numbers.

Lets's calculate LCM of 93,14

LCM of Fractions 93/976,14/549 is 1302/61

Given numbers has no common factors except 1. So, there LCM is their product i.e 1302

Least Common Multiple of 93,14 with GCF Formula

Least Common Multiple of 93,14 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 93,14 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,14) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(93,14) x common factors =1 x 1 = 1

LCM(93,14) = ( 93 × 14 ) / 1

LCM(93,14) = 1302 / 1

LCM(93,14) = 1302


Lets's calculate GCF of 976,549

61 976, 549
16, 9

∴ So the GCF of the given numbers is 61 = 61

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1302/61

Therefore the LCM of Fractions 93/976,14/549 is 1302/61

Greatest Common Factor of 976,549 By Matching Biggest Common Factor Method

Greatest Common Factor of 976,549 By Matching Biggest Common Factor Method

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1,2,4,8,16,61,122,244,488,976

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Greatest Common Factor

We found the factors 976,549 . The biggest common factor number is the GCF number.
So the greatest common factor 976,549 is 61.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 93/976, 14/549

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 93/976, 14/549?

Answer: LCM of Numerators as per given numbers 93/976, 14/549 is

LCM of Numerators i.e. for 93,14 is 1302

GCF of denominators i.e. for 976,549 is 61.

Thus, LCM of Fractions is 1302/61.Finally, LCM of Fractions for 93/976, 14/549 is 1302/61.