Least Common Multiple of 945/992, 977/961

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 945/992, 977/961 quickly i.e. 923265/31 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 945/992, 977/961 is 923265/31.

LCM(945/992, 977/961) = 923265/31

LCM of 945/992, 977/961

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 945/992,977/961

Given numbers are 945/992,977/961

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 945,977

Least Common Multiple of Numerators i.e. LCM of 945,977 is 923265.

GCF of Denominators means GCF of 992,961 as per the given fractions.

GCF of 992,961 is 31 as it is the largest common factor for these numbers.

Lets's calculate LCM of 945,977

LCM of Fractions 945/992,977/961 is 923265/31

Given numbers has no common factors except 1. So, there LCM is their product i.e 923265

Least Common Multiple of 945,977 with GCF Formula

Least Common Multiple of 945,977 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 945,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(945,977) = 1

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

GCF(945,977) x common factors =1 x 1 = 1

LCM(945,977) = ( 945 × 977 ) / 1

LCM(945,977) = 923265 / 1

LCM(945,977) = 923265


Lets's calculate GCF of 992,961

31 992, 961
32, 31

∴ So the GCF of the given numbers is 31 = 31

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 923265/31

Therefore the LCM of Fractions 945/992,977/961 is 923265/31

Greatest Common Factor of 992,961 By Matching Biggest Common Factor Method

Greatest Common Factor of 992,961 By Matching Biggest Common Factor Method

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Factors of 961

List of positive integer factors of 961 that divides 961 without a remainder.

1,31,961

Greatest Common Factor

We found the factors 992,961 . The biggest common factor number is the GCF number.
So the greatest common factor 992,961 is 31.


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 945/992, 977/961

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 945/992, 977/961?

Answer: LCM of Numerators as per given numbers 945/992, 977/961 is

LCM of Numerators i.e. for 945,977 is 923265

GCF of denominators i.e. for 992,961 is 31.

Thus, LCM of Fractions is 923265/31.Finally, LCM of Fractions for 945/992, 977/961 is 923265/31.