Least Common Multiple of 677/947, 1874/302

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 677/947, 1874/302 quickly i.e. 1268698 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 677/947, 1874/302 is 1268698.

LCM(677/947, 1874/302) = 1268698

LCM of 677/947, 1874/302

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 677/947,1874/302

Given numbers are 677/947,1874/302

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 677,1874

Least Common Multiple of Numerators i.e. LCM of 677,1874 is 1268698.

GCF of Denominators means GCF of 947,302 as per the given fractions.

GCF of 947,302 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 677,1874

LCM of Fractions 677/947,1874/302 is 1268698

Given numbers has no common factors except 1. So, there LCM is their product i.e 1268698

Least Common Multiple of 677,1874 with GCF Formula

Least Common Multiple of 677,1874 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 677,1874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(677,1874) = 1

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

GCF(677,1874) x common factors =1 x 1 = 1

LCM(677,1874) = ( 677 × 1874 ) / 1

LCM(677,1874) = 1268698 / 1

LCM(677,1874) = 1268698


Lets's calculate GCF of 947,302

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1268698/1

Therefore the LCM of Fractions 677/947,1874/302 is 1268698

Greatest Common Factor of 947,302 By Matching Biggest Common Factor Method

Greatest Common Factor of 947,302 By Matching Biggest Common Factor Method

Factors of 947

List of positive integer factors of 947 that divides 947 without a remainder.

1,947

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Greatest Common Factor

We found the factors 947,302 . The biggest common factor number is the GCF number.
So the greatest common factor 947,302 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 677/947, 1874/302

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 677/947, 1874/302?

Answer: LCM of Numerators as per given numbers 677/947, 1874/302 is

LCM of Numerators i.e. for 677,1874 is 1268698

GCF of denominators i.e. for 947,302 is 1.

Thus, LCM of Fractions is 1268698.Finally, LCM of Fractions for 677/947, 1874/302 is 1268698.