Least Common Multiple of 55/600, 77/940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/600, 77/940 quickly i.e. 385/20 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/600, 77/940 is 385/20.

LCM(55/600, 77/940) = 385/20

LCM of 55/600, 77/940

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 55/600,77/940

Given numbers are 55/600,77/940

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 55,77

Least Common Multiple of Numerators i.e. LCM of 55,77 is 385.

GCF of Denominators means GCF of 600,940 as per the given fractions.

GCF of 600,940 is 20 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,77

LCM of Fractions 55/600,77/940 is 385/20

11 55, 77
5, 7

∴ So the LCM of the given numbers is 11 x 5 x 7 = 385

Least Common Multiple of 55,77 with GCF Formula

Least Common Multiple of 55,77 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 55,77 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,77) = 11

common factors(in case of two or more numbers have common factors) = 1

GCF(55,77) x common factors =11 x 1 = 11

LCM(55,77) = ( 55 × 77 ) / 11

LCM(55,77) = 4235 / 11

LCM(55,77) = 385


Lets's calculate GCF of 600,940

2 600, 940
2 300, 470
5 150, 235
30, 47

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 385/20

Therefore the LCM of Fractions 55/600,77/940 is 385/20

Greatest Common Factor of 600,940 By Matching Biggest Common Factor Method

Greatest Common Factor of 600,940 By Matching Biggest Common Factor Method

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1,2,4,5,10,20,47,94,188,235,470,940

Greatest Common Factor

We found the factors 600,940 . The biggest common factor number is the GCF number.
So the greatest common factor 600,940 is 20.


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 55/600, 77/940

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 55/600, 77/940?

Answer: LCM of Numerators as per given numbers 55/600, 77/940 is

LCM of Numerators i.e. for 55,77 is 385

GCF of denominators i.e. for 600,940 is 20.

Thus, LCM of Fractions is 385/20.Finally, LCM of Fractions for 55/600, 77/940 is 385/20.