Least Common Multiple of 67/577, 1946/8444

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/577, 1946/8444 quickly i.e. 130382 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/577, 1946/8444 is 130382.

LCM(67/577, 1946/8444) = 130382

LCM of 67/577, 1946/8444

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 67/577,1946/8444

Given numbers are 67/577,1946/8444

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 67,1946

Least Common Multiple of Numerators i.e. LCM of 67,1946 is 130382.

GCF of Denominators means GCF of 577,8444 as per the given fractions.

GCF of 577,8444 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,1946

LCM of Fractions 67/577,1946/8444 is 130382

Given numbers has no common factors except 1. So, there LCM is their product i.e 130382

Least Common Multiple of 67,1946 with GCF Formula

Least Common Multiple of 67,1946 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 67,1946 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,1946) = 1

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

GCF(67,1946) x common factors =1 x 1 = 1

LCM(67,1946) = ( 67 × 1946 ) / 1

LCM(67,1946) = 130382 / 1

LCM(67,1946) = 130382


Lets's calculate GCF of 577,8444

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 130382/1

Therefore the LCM of Fractions 67/577,1946/8444 is 130382

Greatest Common Factor of 577,8444 By Matching Biggest Common Factor Method

Greatest Common Factor of 577,8444 By Matching Biggest Common Factor Method

Factors of 577

List of positive integer factors of 577 that divides 577 without a remainder.

1,577

Factors of 8444

List of positive integer factors of 8444 that divides 8444 without a remainder.

1,2,4,2111,4222,8444

Greatest Common Factor

We found the factors 577,8444 . The biggest common factor number is the GCF number.
So the greatest common factor 577,8444 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 67/577, 1946/8444

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 67/577, 1946/8444?

Answer: LCM of Numerators as per given numbers 67/577, 1946/8444 is

LCM of Numerators i.e. for 67,1946 is 130382

GCF of denominators i.e. for 577,8444 is 1.

Thus, LCM of Fractions is 130382.Finally, LCM of Fractions for 67/577, 1946/8444 is 130382.