Least Common Multiple of 1218/894, 4049/1910

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1218/894, 4049/1910 quickly i.e. 2465841 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1218/894, 4049/1910 is 2465841.

LCM(1218/894, 4049/1910) = 2465841

LCM of 1218/894, 4049/1910

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 1218/894,4049/1910

Given numbers are 1218/894,4049/1910

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 1218,4049

Least Common Multiple of Numerators i.e. LCM of 1218,4049 is 4931682.

GCF of Denominators means GCF of 894,1910 as per the given fractions.

GCF of 894,1910 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1218,4049

LCM of Fractions 1218/894,4049/1910 is 2465841

Given numbers has no common factors except 1. So, there LCM is their product i.e 4931682

Least Common Multiple of 1218,4049 with GCF Formula

Least Common Multiple of 1218,4049 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 1218,4049 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1218,4049) = 1

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

GCF(1218,4049) x common factors =1 x 1 = 1

LCM(1218,4049) = ( 1218 × 4049 ) / 1

LCM(1218,4049) = 4931682 / 1

LCM(1218,4049) = 4931682


Lets's calculate GCF of 894,1910

2 894, 1910
447, 955

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4931682/2

Therefore the LCM of Fractions 1218/894,4049/1910 is 2465841

Greatest Common Factor of 894,1910 By Matching Biggest Common Factor Method

Greatest Common Factor of 894,1910 By Matching Biggest Common Factor Method

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Factors of 1910

List of positive integer factors of 1910 that divides 1910 without a remainder.

1,2,5,10,191,382,955,1910

Greatest Common Factor

We found the factors 894,1910 . The biggest common factor number is the GCF number.
So the greatest common factor 894,1910 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1218/894, 4049/1910

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 1218/894, 4049/1910?

Answer: LCM of Numerators as per given numbers 1218/894, 4049/1910 is

LCM of Numerators i.e. for 1218,4049 is 4931682

GCF of denominators i.e. for 894,1910 is 2.

Thus, LCM of Fractions is 2465841.Finally, LCM of Fractions for 1218/894, 4049/1910 is 2465841.