Least Common Multiple of 77/933, 21/788, 104/705

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 77/933, 21/788, 104/705 quickly i.e. 24024 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/933, 21/788, 104/705 is 24024.

LCM(77/933, 21/788, 104/705) = 24024

LCM of 77/933, 21/788, 104/705

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 77/933,21/788,104/705

Given numbers are 77/933,21/788,104/705

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 77,21,104

Least Common Multiple of Numerators i.e. LCM of 77,21,104 is 24024.

GCF of Denominators means GCF of 933,788,705 as per the given fractions.

GCF of 933,788,705 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,21,104

LCM of Fractions 77/933,21/788,104/705 is 24024

7 77, 21, 104
11, 3, 104

∴ So the LCM of the given numbers is 7 x 11 x 3 x 104 = 24024

Least Common Multiple of 77,21,104 with GCF Formula

Least Common Multiple of 77,21,104 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 77,21,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,21,104) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(77,21,104) x common factors =1 x 7 = 7

LCM(77,21,104) = ( 77 × 21 × 104 ) / 7

LCM(77,21,104) = 168168 / 7

LCM(77,21,104) = 24024


Lets's calculate GCF of 933,788,705

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24024/1

Therefore the LCM of Fractions 77/933,21/788,104/705 is 24024

Greatest Common Factor of 933,788,705 By Matching Biggest Common Factor Method

Greatest Common Factor of 933,788,705 By Matching Biggest Common Factor Method

Factors of 933

List of positive integer factors of 933 that divides 933 without a remainder.

1,3,311,933

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Greatest Common Factor

We found the factors 933,788,705 . The biggest common factor number is the GCF number.
So the greatest common factor 933,788,705 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 77/933, 21/788, 104/705

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 77/933, 21/788, 104/705?

Answer: LCM of Numerators as per given numbers 77/933, 21/788, 104/705 is

LCM of Numerators i.e. for 77,21,104 is 24024

GCF of denominators i.e. for 933,788,705 is 1.

Thus, LCM of Fractions is 24024.Finally, LCM of Fractions for 77/933, 21/788, 104/705 is 24024.