Least Common Multiple of 40/883, 18/689, 964/683

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/883, 18/689, 964/683 quickly i.e. 86760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/883, 18/689, 964/683 is 86760.

LCM(40/883, 18/689, 964/683) = 86760

LCM of 40/883, 18/689, 964/683

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 40/883,18/689,964/683

Given numbers are 40/883,18/689,964/683

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 40,18,964

Least Common Multiple of Numerators i.e. LCM of 40,18,964 is 86760.

GCF of Denominators means GCF of 883,689,683 as per the given fractions.

GCF of 883,689,683 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,18,964

LCM of Fractions 40/883,18/689,964/683 is 86760

2 40, 18, 964
2 20, 9, 482
10, 9, 241

∴ So the LCM of the given numbers is 2 x 2 x 10 x 9 x 241 = 86760

Least Common Multiple of 40,18,964 with GCF Formula

Least Common Multiple of 40,18,964 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 40,18,964 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,18,964) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(40,18,964) x common factors =2 x 4 = 8

LCM(40,18,964) = ( 40 × 18 × 964 ) / 8

LCM(40,18,964) = 694080 / 8

LCM(40,18,964) = 86760


Lets's calculate GCF of 883,689,683

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 86760/1

Therefore the LCM of Fractions 40/883,18/689,964/683 is 86760

Greatest Common Factor of 883,689,683 By Matching Biggest Common Factor Method

Greatest Common Factor of 883,689,683 By Matching Biggest Common Factor Method

Factors of 883

List of positive integer factors of 883 that divides 883 without a remainder.

1,883

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Factors of 683

List of positive integer factors of 683 that divides 683 without a remainder.

1,683

Greatest Common Factor

We found the factors 883,689,683 . The biggest common factor number is the GCF number.
So the greatest common factor 883,689,683 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 40/883, 18/689, 964/683

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 40/883, 18/689, 964/683?

Answer: LCM of Numerators as per given numbers 40/883, 18/689, 964/683 is

LCM of Numerators i.e. for 40,18,964 is 86760

GCF of denominators i.e. for 883,689,683 is 1.

Thus, LCM of Fractions is 86760.Finally, LCM of Fractions for 40/883, 18/689, 964/683 is 86760.