Least Common Multiple of 1734/645, 7927/6220

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1734/645, 7927/6220 quickly i.e. 13745418/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1734/645, 7927/6220 is 13745418/5.

LCM(1734/645, 7927/6220) = 13745418/5

LCM of 1734/645, 7927/6220

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 1734/645,7927/6220

Given numbers are 1734/645,7927/6220

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 1734,7927

Least Common Multiple of Numerators i.e. LCM of 1734,7927 is 13745418.

GCF of Denominators means GCF of 645,6220 as per the given fractions.

GCF of 645,6220 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1734,7927

LCM of Fractions 1734/645,7927/6220 is 13745418/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 13745418

Least Common Multiple of 1734,7927 with GCF Formula

Least Common Multiple of 1734,7927 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 1734,7927 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1734,7927) = 1

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

GCF(1734,7927) x common factors =1 x 1 = 1

LCM(1734,7927) = ( 1734 × 7927 ) / 1

LCM(1734,7927) = 13745418 / 1

LCM(1734,7927) = 13745418


Lets's calculate GCF of 645,6220

5 645, 6220
129, 1244

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13745418/5

Therefore the LCM of Fractions 1734/645,7927/6220 is 13745418/5

Greatest Common Factor of 645,6220 By Matching Biggest Common Factor Method

Greatest Common Factor of 645,6220 By Matching Biggest Common Factor Method

Factors of 645

List of positive integer factors of 645 that divides 645 without a remainder.

1,3,5,15,43,129,215,645

Factors of 6220

List of positive integer factors of 6220 that divides 6220 without a remainder.

1,2,4,5,10,20,311,622,1244,1555,3110,6220

Greatest Common Factor

We found the factors 645,6220 . The biggest common factor number is the GCF number.
So the greatest common factor 645,6220 is 5.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1734/645, 7927/6220

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 1734/645, 7927/6220?

Answer: LCM of Numerators as per given numbers 1734/645, 7927/6220 is

LCM of Numerators i.e. for 1734,7927 is 13745418

GCF of denominators i.e. for 645,6220 is 5.

Thus, LCM of Fractions is 13745418/5.Finally, LCM of Fractions for 1734/645, 7927/6220 is 13745418/5.