Least Common Multiple of 677/17, 4152/944

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 677/17, 4152/944 quickly i.e. 2810904 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 677/17, 4152/944 is 2810904.

LCM(677/17, 4152/944) = 2810904

LCM of 677/17, 4152/944

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 677/17,4152/944

Given numbers are 677/17,4152/944

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 677,4152

Least Common Multiple of Numerators i.e. LCM of 677,4152 is 2810904.

GCF of Denominators means GCF of 17,944 as per the given fractions.

GCF of 17,944 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 677,4152

LCM of Fractions 677/17,4152/944 is 2810904

Given numbers has no common factors except 1. So, there LCM is their product i.e 2810904

Least Common Multiple of 677,4152 with GCF Formula

Least Common Multiple of 677,4152 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 677,4152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(677,4152) = 1

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

GCF(677,4152) x common factors =1 x 1 = 1

LCM(677,4152) = ( 677 × 4152 ) / 1

LCM(677,4152) = 2810904 / 1

LCM(677,4152) = 2810904


Lets's calculate GCF of 17,944

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2810904/1

Therefore the LCM of Fractions 677/17,4152/944 is 2810904

Greatest Common Factor of 17,944 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,944 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 944

List of positive integer factors of 944 that divides 944 without a remainder.

1,2,4,8,16,59,118,236,472,944

Greatest Common Factor

We found the factors 17,944 . The biggest common factor number is the GCF number.
So the greatest common factor 17,944 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 677/17, 4152/944

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 677/17, 4152/944?

Answer: LCM of Numerators as per given numbers 677/17, 4152/944 is

LCM of Numerators i.e. for 677,4152 is 2810904

GCF of denominators i.e. for 17,944 is 1.

Thus, LCM of Fractions is 2810904.Finally, LCM of Fractions for 677/17, 4152/944 is 2810904.