Least Common Multiple of 862/90, 278/96, 440/326

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 862/90, 278/96, 440/326 quickly i.e. 13179980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 862/90, 278/96, 440/326 is 13179980.

LCM(862/90, 278/96, 440/326) = 13179980

LCM of 862/90, 278/96, 440/326

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 862/90,278/96,440/326

Given numbers are 862/90,278/96,440/326

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 862,278,440

Least Common Multiple of Numerators i.e. LCM of 862,278,440 is 26359960.

GCF of Denominators means GCF of 90,96,326 as per the given fractions.

GCF of 90,96,326 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 862,278,440

LCM of Fractions 862/90,278/96,440/326 is 13179980

2 862, 278, 440
431, 139, 220

∴ So the LCM of the given numbers is 2 x 431 x 139 x 220 = 26359960

Least Common Multiple of 862,278,440 with GCF Formula

Least Common Multiple of 862,278,440 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 862,278,440 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(862,278,440) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(862,278,440) x common factors =2 x 2 = 4

LCM(862,278,440) = ( 862 × 278 × 440 ) / 4

LCM(862,278,440) = 105439840 / 4

LCM(862,278,440) = 26359960


Lets's calculate GCF of 90,96,326

2 90, 96, 326
45, 48, 163

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26359960/2

Therefore the LCM of Fractions 862/90,278/96,440/326 is 13179980

Greatest Common Factor of 90,96,326 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,96,326 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 326

List of positive integer factors of 326 that divides 326 without a remainder.

1,2,163,326

Greatest Common Factor

We found the factors 90,96,326 . The biggest common factor number is the GCF number.
So the greatest common factor 90,96,326 is 2.


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 862/90, 278/96, 440/326

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 862/90, 278/96, 440/326?

Answer: LCM of Numerators as per given numbers 862/90, 278/96, 440/326 is

LCM of Numerators i.e. for 862,278,440 is 26359960

GCF of denominators i.e. for 90,96,326 is 2.

Thus, LCM of Fractions is 13179980.Finally, LCM of Fractions for 862/90, 278/96, 440/326 is 13179980.