Least Common Multiple of 49/32, 22/60, 174/63

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/32, 22/60, 174/63 quickly i.e. 93786 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/32, 22/60, 174/63 is 93786.

LCM(49/32, 22/60, 174/63) = 93786

LCM of 49/32, 22/60, 174/63

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 49/32,22/60,174/63

Given numbers are 49/32,22/60,174/63

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 49,22,174

Least Common Multiple of Numerators i.e. LCM of 49,22,174 is 93786.

GCF of Denominators means GCF of 32,60,63 as per the given fractions.

GCF of 32,60,63 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,22,174

LCM of Fractions 49/32,22/60,174/63 is 93786

2 49, 22, 174
49, 11, 87

∴ So the LCM of the given numbers is 2 x 49 x 11 x 87 = 93786

Least Common Multiple of 49,22,174 with GCF Formula

Least Common Multiple of 49,22,174 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 49,22,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,22,174) = 1

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

GCF(49,22,174) x common factors =1 x 2 = 2

LCM(49,22,174) = ( 49 × 22 × 174 ) / 2

LCM(49,22,174) = 187572 / 2

LCM(49,22,174) = 93786


Lets's calculate GCF of 32,60,63

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 93786/1

Therefore the LCM of Fractions 49/32,22/60,174/63 is 93786

Greatest Common Factor of 32,60,63 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,60,63 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Greatest Common Factor

We found the factors 32,60,63 . The biggest common factor number is the GCF number.
So the greatest common factor 32,60,63 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 49/32, 22/60, 174/63

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 49/32, 22/60, 174/63?

Answer: LCM of Numerators as per given numbers 49/32, 22/60, 174/63 is

LCM of Numerators i.e. for 49,22,174 is 93786

GCF of denominators i.e. for 32,60,63 is 1.

Thus, LCM of Fractions is 93786.Finally, LCM of Fractions for 49/32, 22/60, 174/63 is 93786.