Least Common Multiple of 1122/60, 7135/477

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1122/60, 7135/477 quickly i.e. 2668490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1122/60, 7135/477 is 2668490.

LCM(1122/60, 7135/477) = 2668490

LCM of 1122/60, 7135/477

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 1122/60,7135/477

Given numbers are 1122/60,7135/477

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 1122,7135

Least Common Multiple of Numerators i.e. LCM of 1122,7135 is 8005470.

GCF of Denominators means GCF of 60,477 as per the given fractions.

GCF of 60,477 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1122,7135

LCM of Fractions 1122/60,7135/477 is 2668490

Given numbers has no common factors except 1. So, there LCM is their product i.e 8005470

Least Common Multiple of 1122,7135 with GCF Formula

Least Common Multiple of 1122,7135 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 1122,7135 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1122,7135) = 1

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

GCF(1122,7135) x common factors =1 x 1 = 1

LCM(1122,7135) = ( 1122 × 7135 ) / 1

LCM(1122,7135) = 8005470 / 1

LCM(1122,7135) = 8005470


Lets's calculate GCF of 60,477

3 60, 477
20, 159

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8005470/3

Therefore the LCM of Fractions 1122/60,7135/477 is 2668490

Greatest Common Factor of 60,477 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,477 By Matching Biggest Common Factor Method

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 477

List of positive integer factors of 477 that divides 477 without a remainder.

1,3,9,53,159,477

Greatest Common Factor

We found the factors 60,477 . The biggest common factor number is the GCF number.
So the greatest common factor 60,477 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1122/60, 7135/477

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 1122/60, 7135/477?

Answer: LCM of Numerators as per given numbers 1122/60, 7135/477 is

LCM of Numerators i.e. for 1122,7135 is 8005470

GCF of denominators i.e. for 60,477 is 3.

Thus, LCM of Fractions is 2668490.Finally, LCM of Fractions for 1122/60, 7135/477 is 2668490.