Least Common Multiple of 7477/206, 3454/1660

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7477/206, 3454/1660 quickly i.e. 12912779 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7477/206, 3454/1660 is 12912779.

LCM(7477/206, 3454/1660) = 12912779

LCM of 7477/206, 3454/1660

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 7477/206,3454/1660

Given numbers are 7477/206,3454/1660

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 7477,3454

Least Common Multiple of Numerators i.e. LCM of 7477,3454 is 25825558.

GCF of Denominators means GCF of 206,1660 as per the given fractions.

GCF of 206,1660 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7477,3454

LCM of Fractions 7477/206,3454/1660 is 12912779

Given numbers has no common factors except 1. So, there LCM is their product i.e 25825558

Least Common Multiple of 7477,3454 with GCF Formula

Least Common Multiple of 7477,3454 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 7477,3454 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7477,3454) = 1

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

GCF(7477,3454) x common factors =1 x 1 = 1

LCM(7477,3454) = ( 7477 × 3454 ) / 1

LCM(7477,3454) = 25825558 / 1

LCM(7477,3454) = 25825558


Lets's calculate GCF of 206,1660

2 206, 1660
103, 830

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25825558/2

Therefore the LCM of Fractions 7477/206,3454/1660 is 12912779

Greatest Common Factor of 206,1660 By Matching Biggest Common Factor Method

Greatest Common Factor of 206,1660 By Matching Biggest Common Factor Method

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Factors of 1660

List of positive integer factors of 1660 that divides 1660 without a remainder.

1,2,4,5,10,20,83,166,332,415,830,1660

Greatest Common Factor

We found the factors 206,1660 . The biggest common factor number is the GCF number.
So the greatest common factor 206,1660 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7477/206, 3454/1660

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 7477/206, 3454/1660?

Answer: LCM of Numerators as per given numbers 7477/206, 3454/1660 is

LCM of Numerators i.e. for 7477,3454 is 25825558

GCF of denominators i.e. for 206,1660 is 2.

Thus, LCM of Fractions is 12912779.Finally, LCM of Fractions for 7477/206, 3454/1660 is 12912779.