Least Common Multiple of 831/973, 706/964, 967/574

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 831/973, 706/964, 967/574 quickly i.e. 567325362 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 831/973, 706/964, 967/574 is 567325362.

LCM(831/973, 706/964, 967/574) = 567325362

LCM of 831/973, 706/964, 967/574

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 831/973,706/964,967/574

Given numbers are 831/973,706/964,967/574

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 831,706,967

Least Common Multiple of Numerators i.e. LCM of 831,706,967 is 567325362.

GCF of Denominators means GCF of 973,964,574 as per the given fractions.

GCF of 973,964,574 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 831,706,967

LCM of Fractions 831/973,706/964,967/574 is 567325362

Given numbers has no common factors except 1. So, there LCM is their product i.e 567325362

Least Common Multiple of 831,706,967 with GCF Formula

Least Common Multiple of 831,706,967 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 831,706,967 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(831,706,967) = 1

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

GCF(831,706,967) x common factors =1 x 1 = 1

LCM(831,706,967) = ( 831 × 706 × 967 ) / 1

LCM(831,706,967) = 567325362 / 1

LCM(831,706,967) = 567325362


Lets's calculate GCF of 973,964,574

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 567325362/1

Therefore the LCM of Fractions 831/973,706/964,967/574 is 567325362

Greatest Common Factor of 973,964,574 By Matching Biggest Common Factor Method

Greatest Common Factor of 973,964,574 By Matching Biggest Common Factor Method

Factors of 973

List of positive integer factors of 973 that divides 973 without a remainder.

1,7,139,973

Factors of 964

List of positive integer factors of 964 that divides 964 without a remainder.

1,2,4,241,482,964

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Greatest Common Factor

We found the factors 973,964,574 . The biggest common factor number is the GCF number.
So the greatest common factor 973,964,574 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 831/973, 706/964, 967/574

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 831/973, 706/964, 967/574?

Answer: LCM of Numerators as per given numbers 831/973, 706/964, 967/574 is

LCM of Numerators i.e. for 831,706,967 is 567325362

GCF of denominators i.e. for 973,964,574 is 1.

Thus, LCM of Fractions is 567325362.Finally, LCM of Fractions for 831/973, 706/964, 967/574 is 567325362.