Least Common Multiple of 1096/548, 3270/6158

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1096/548, 3270/6158 quickly i.e. 895980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1096/548, 3270/6158 is 895980.

LCM(1096/548, 3270/6158) = 895980

LCM of 1096/548, 3270/6158

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 1096/548,3270/6158

Given numbers are 1096/548,3270/6158

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 1096,3270

Least Common Multiple of Numerators i.e. LCM of 1096,3270 is 1791960.

GCF of Denominators means GCF of 548,6158 as per the given fractions.

GCF of 548,6158 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1096,3270

LCM of Fractions 1096/548,3270/6158 is 895980

2 1096, 3270
548, 1635

∴ So the LCM of the given numbers is 2 x 548 x 1635 = 1791960

Least Common Multiple of 1096,3270 with GCF Formula

Least Common Multiple of 1096,3270 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 1096,3270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1096,3270) = 2

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

GCF(1096,3270) x common factors =2 x 1 = 2

LCM(1096,3270) = ( 1096 × 3270 ) / 2

LCM(1096,3270) = 3583920 / 2

LCM(1096,3270) = 1791960


Lets's calculate GCF of 548,6158

2 548, 6158
274, 3079

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1791960/2

Therefore the LCM of Fractions 1096/548,3270/6158 is 895980

Greatest Common Factor of 548,6158 By Matching Biggest Common Factor Method

Greatest Common Factor of 548,6158 By Matching Biggest Common Factor Method

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Factors of 6158

List of positive integer factors of 6158 that divides 6158 without a remainder.

1,2,3079,6158

Greatest Common Factor

We found the factors 548,6158 . The biggest common factor number is the GCF number.
So the greatest common factor 548,6158 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1096/548, 3270/6158

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 1096/548, 3270/6158?

Answer: LCM of Numerators as per given numbers 1096/548, 3270/6158 is

LCM of Numerators i.e. for 1096,3270 is 1791960

GCF of denominators i.e. for 548,6158 is 2.

Thus, LCM of Fractions is 895980.Finally, LCM of Fractions for 1096/548, 3270/6158 is 895980.