Least Common Multiple of 1674/985, 9763/1969

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1674/985, 9763/1969 quickly i.e. 16343262 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1674/985, 9763/1969 is 16343262.

LCM(1674/985, 9763/1969) = 16343262

LCM of 1674/985, 9763/1969

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 1674/985,9763/1969

Given numbers are 1674/985,9763/1969

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 1674,9763

Least Common Multiple of Numerators i.e. LCM of 1674,9763 is 16343262.

GCF of Denominators means GCF of 985,1969 as per the given fractions.

GCF of 985,1969 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1674,9763

LCM of Fractions 1674/985,9763/1969 is 16343262

Given numbers has no common factors except 1. So, there LCM is their product i.e 16343262

Least Common Multiple of 1674,9763 with GCF Formula

Least Common Multiple of 1674,9763 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 1674,9763 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1674,9763) = 1

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

GCF(1674,9763) x common factors =1 x 1 = 1

LCM(1674,9763) = ( 1674 × 9763 ) / 1

LCM(1674,9763) = 16343262 / 1

LCM(1674,9763) = 16343262


Lets's calculate GCF of 985,1969

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16343262/1

Therefore the LCM of Fractions 1674/985,9763/1969 is 16343262

Greatest Common Factor of 985,1969 By Matching Biggest Common Factor Method

Greatest Common Factor of 985,1969 By Matching Biggest Common Factor Method

Factors of 985

List of positive integer factors of 985 that divides 985 without a remainder.

1,5,197,985

Factors of 1969

List of positive integer factors of 1969 that divides 1969 without a remainder.

1,11,179,1969

Greatest Common Factor

We found the factors 985,1969 . The biggest common factor number is the GCF number.
So the greatest common factor 985,1969 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 1674/985, 9763/1969

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 1674/985, 9763/1969?

Answer: LCM of Numerators as per given numbers 1674/985, 9763/1969 is

LCM of Numerators i.e. for 1674,9763 is 16343262

GCF of denominators i.e. for 985,1969 is 1.

Thus, LCM of Fractions is 16343262.Finally, LCM of Fractions for 1674/985, 9763/1969 is 16343262.