Least Common Multiple of 22/783, 103/240, 748/182

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/783, 103/240, 748/182 quickly i.e. 77044 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/783, 103/240, 748/182 is 77044.

LCM(22/783, 103/240, 748/182) = 77044

LCM of 22/783, 103/240, 748/182

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 22/783,103/240,748/182

Given numbers are 22/783,103/240,748/182

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 22,103,748

Least Common Multiple of Numerators i.e. LCM of 22,103,748 is 77044.

GCF of Denominators means GCF of 783,240,182 as per the given fractions.

GCF of 783,240,182 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,103,748

LCM of Fractions 22/783,103/240,748/182 is 77044

2 22, 103, 748
11 11, 103, 374
1, 103, 34

∴ So the LCM of the given numbers is 2 x 11 x 1 x 103 x 34 = 77044

Least Common Multiple of 22,103,748 with GCF Formula

Least Common Multiple of 22,103,748 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 22,103,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,103,748) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(22,103,748) x common factors =1 x 22 = 22

LCM(22,103,748) = ( 22 × 103 × 748 ) / 22

LCM(22,103,748) = 1694968 / 22

LCM(22,103,748) = 77044


Lets's calculate GCF of 783,240,182

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77044/1

Therefore the LCM of Fractions 22/783,103/240,748/182 is 77044

Greatest Common Factor of 783,240,182 By Matching Biggest Common Factor Method

Greatest Common Factor of 783,240,182 By Matching Biggest Common Factor Method

Factors of 783

List of positive integer factors of 783 that divides 783 without a remainder.

1,3,9,27,29,87,261,783

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Factors of 182

List of positive integer factors of 182 that divides 182 without a remainder.

1,2,7,13,14,26,91,182

Greatest Common Factor

We found the factors 783,240,182 . The biggest common factor number is the GCF number.
So the greatest common factor 783,240,182 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 22/783, 103/240, 748/182

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 22/783, 103/240, 748/182?

Answer: LCM of Numerators as per given numbers 22/783, 103/240, 748/182 is

LCM of Numerators i.e. for 22,103,748 is 77044

GCF of denominators i.e. for 783,240,182 is 1.

Thus, LCM of Fractions is 77044.Finally, LCM of Fractions for 22/783, 103/240, 748/182 is 77044.