Least Common Multiple of 7867/811, 4416/148

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7867/811, 4416/148 quickly i.e. 34740672 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7867/811, 4416/148 is 34740672.

LCM(7867/811, 4416/148) = 34740672

LCM of 7867/811, 4416/148

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 7867/811,4416/148

Given numbers are 7867/811,4416/148

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 7867,4416

Least Common Multiple of Numerators i.e. LCM of 7867,4416 is 34740672.

GCF of Denominators means GCF of 811,148 as per the given fractions.

GCF of 811,148 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7867,4416

LCM of Fractions 7867/811,4416/148 is 34740672

Given numbers has no common factors except 1. So, there LCM is their product i.e 34740672

Least Common Multiple of 7867,4416 with GCF Formula

Least Common Multiple of 7867,4416 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 7867,4416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7867,4416) = 1

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

GCF(7867,4416) x common factors =1 x 1 = 1

LCM(7867,4416) = ( 7867 × 4416 ) / 1

LCM(7867,4416) = 34740672 / 1

LCM(7867,4416) = 34740672


Lets's calculate GCF of 811,148

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34740672/1

Therefore the LCM of Fractions 7867/811,4416/148 is 34740672

Greatest Common Factor of 811,148 By Matching Biggest Common Factor Method

Greatest Common Factor of 811,148 By Matching Biggest Common Factor Method

Factors of 811

List of positive integer factors of 811 that divides 811 without a remainder.

1,811

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

Greatest Common Factor

We found the factors 811,148 . The biggest common factor number is the GCF number.
So the greatest common factor 811,148 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7867/811, 4416/148

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 7867/811, 4416/148?

Answer: LCM of Numerators as per given numbers 7867/811, 4416/148 is

LCM of Numerators i.e. for 7867,4416 is 34740672

GCF of denominators i.e. for 811,148 is 1.

Thus, LCM of Fractions is 34740672.Finally, LCM of Fractions for 7867/811, 4416/148 is 34740672.