Least Common Multiple of 969/623, 966/985

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 969/623, 966/985 quickly i.e. 312018 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 969/623, 966/985 is 312018.

LCM(969/623, 966/985) = 312018

LCM of 969/623, 966/985

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 969/623,966/985

Given numbers are 969/623,966/985

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 969,966

Least Common Multiple of Numerators i.e. LCM of 969,966 is 312018.

GCF of Denominators means GCF of 623,985 as per the given fractions.

GCF of 623,985 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 969,966

LCM of Fractions 969/623,966/985 is 312018

3 969, 966
323, 322

∴ So the LCM of the given numbers is 3 x 323 x 322 = 312018

Least Common Multiple of 969,966 with GCF Formula

Least Common Multiple of 969,966 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 969,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(969,966) = 3

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

GCF(969,966) x common factors =3 x 1 = 3

LCM(969,966) = ( 969 × 966 ) / 3

LCM(969,966) = 936054 / 3

LCM(969,966) = 312018


Lets's calculate GCF of 623,985

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 312018/1

Therefore the LCM of Fractions 969/623,966/985 is 312018

Greatest Common Factor of 623,985 By Matching Biggest Common Factor Method

Greatest Common Factor of 623,985 By Matching Biggest Common Factor Method

Factors of 623

List of positive integer factors of 623 that divides 623 without a remainder.

1,7,89,623

Factors of 985

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

1,5,197,985

Greatest Common Factor

We found the factors 623,985 . The biggest common factor number is the GCF number.
So the greatest common factor 623,985 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 969/623, 966/985

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 969/623, 966/985?

Answer: LCM of Numerators as per given numbers 969/623, 966/985 is

LCM of Numerators i.e. for 969,966 is 312018

GCF of denominators i.e. for 623,985 is 1.

Thus, LCM of Fractions is 312018.Finally, LCM of Fractions for 969/623, 966/985 is 312018.