Least Common Multiple of 77/385, 78/336, 320/590

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/385, 78/336, 320/590 quickly i.e. 960960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/385, 78/336, 320/590 is 960960.

LCM(77/385, 78/336, 320/590) = 960960

LCM of 77/385, 78/336, 320/590

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 77/385,78/336,320/590

Given numbers are 77/385,78/336,320/590

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 77,78,320

Least Common Multiple of Numerators i.e. LCM of 77,78,320 is 960960.

GCF of Denominators means GCF of 385,336,590 as per the given fractions.

GCF of 385,336,590 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,78,320

LCM of Fractions 77/385,78/336,320/590 is 960960

2 77, 78, 320
77, 39, 160

∴ So the LCM of the given numbers is 2 x 77 x 39 x 160 = 960960

Least Common Multiple of 77,78,320 with GCF Formula

Least Common Multiple of 77,78,320 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 77,78,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,78,320) = 1

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

GCF(77,78,320) x common factors =1 x 2 = 2

LCM(77,78,320) = ( 77 × 78 × 320 ) / 2

LCM(77,78,320) = 1921920 / 2

LCM(77,78,320) = 960960


Lets's calculate GCF of 385,336,590

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 960960/1

Therefore the LCM of Fractions 77/385,78/336,320/590 is 960960

Greatest Common Factor of 385,336,590 By Matching Biggest Common Factor Method

Greatest Common Factor of 385,336,590 By Matching Biggest Common Factor Method

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Greatest Common Factor

We found the factors 385,336,590 . The biggest common factor number is the GCF number.
So the greatest common factor 385,336,590 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 77/385, 78/336, 320/590

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 77/385, 78/336, 320/590?

Answer: LCM of Numerators as per given numbers 77/385, 78/336, 320/590 is

LCM of Numerators i.e. for 77,78,320 is 960960

GCF of denominators i.e. for 385,336,590 is 1.

Thus, LCM of Fractions is 960960.Finally, LCM of Fractions for 77/385, 78/336, 320/590 is 960960.