Least Common Multiple of 20/77, 60/37, 78/78, 25/830

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/77, 60/37, 78/78, 25/830 quickly i.e. 3900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/77, 60/37, 78/78, 25/830 is 3900.

LCM(20/77, 60/37, 78/78, 25/830) = 3900

LCM of 20/77, 60/37, 78/78, 25/830

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 20/77,60/37,78/78,25/830

Given numbers are 20/77,60/37,78/78,25/830

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 20,60,78,25

Least Common Multiple of Numerators i.e. LCM of 20,60,78,25 is 3900.

GCF of Denominators means GCF of 77,37,78,830 as per the given fractions.

GCF of 77,37,78,830 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,60,78,25

LCM of Fractions 20/77,60/37,78/78,25/830 is 3900

2 20, 60, 78, 25
2 10, 30, 39, 25
3 5, 15, 39, 25
5 5, 5, 13, 25
1, 1, 13, 5

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 1 x 1 x 13 x 5 = 3900

Least Common Multiple of 20,60,78,25 with GCF Formula

Least Common Multiple of 20,60,78,25 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 20,60,78,25 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,60,78,25) = 1

common factors(in case of two or more numbers have common factors) = 600

GCF(20,60,78,25) x common factors =1 x 600 = 600

LCM(20,60,78,25) = ( 20 × 60 × 78 × 25 ) / 600

LCM(20,60,78,25) = 2340000 / 600

LCM(20,60,78,25) = 3900


Lets's calculate GCF of 77,37,78,830

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3900/1

Therefore the LCM of Fractions 20/77,60/37,78/78,25/830 is 3900

Greatest Common Factor of 77,37,78,830 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,37,78,830 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Greatest Common Factor

We found the factors 77,37,78,830 . The biggest common factor number is the GCF number.
So the greatest common factor 77,37,78,830 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 20/77, 60/37, 78/78, 25/830

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 20/77, 60/37, 78/78, 25/830?

Answer: LCM of Numerators as per given numbers 20/77, 60/37, 78/78, 25/830 is

LCM of Numerators i.e. for 20,60,78,25 is 3900

GCF of denominators i.e. for 77,37,78,830 is 1.

Thus, LCM of Fractions is 3900.Finally, LCM of Fractions for 20/77, 60/37, 78/78, 25/830 is 3900.