Least Common Multiple of 49/79, 78/77, 355/940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/79, 78/77, 355/940 quickly i.e. 1356810 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/79, 78/77, 355/940 is 1356810.

LCM(49/79, 78/77, 355/940) = 1356810

LCM of 49/79, 78/77, 355/940

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 49/79,78/77,355/940

Given numbers are 49/79,78/77,355/940

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 49,78,355

Least Common Multiple of Numerators i.e. LCM of 49,78,355 is 1356810.

GCF of Denominators means GCF of 79,77,940 as per the given fractions.

GCF of 79,77,940 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,78,355

LCM of Fractions 49/79,78/77,355/940 is 1356810

Given numbers has no common factors except 1. So, there LCM is their product i.e 1356810

Least Common Multiple of 49,78,355 with GCF Formula

Least Common Multiple of 49,78,355 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 49,78,355 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,78,355) = 1

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

GCF(49,78,355) x common factors =1 x 1 = 1

LCM(49,78,355) = ( 49 × 78 × 355 ) / 1

LCM(49,78,355) = 1356810 / 1

LCM(49,78,355) = 1356810


Lets's calculate GCF of 79,77,940

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1356810/1

Therefore the LCM of Fractions 49/79,78/77,355/940 is 1356810

Greatest Common Factor of 79,77,940 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,77,940 By Matching Biggest Common Factor Method

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 77

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

1,7,11,77

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 79,77,940 . The biggest common factor number is the GCF number.
So the greatest common factor 79,77,940 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 49/79, 78/77, 355/940

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 49/79, 78/77, 355/940?

Answer: LCM of Numerators as per given numbers 49/79, 78/77, 355/940 is

LCM of Numerators i.e. for 49,78,355 is 1356810

GCF of denominators i.e. for 79,77,940 is 1.

Thus, LCM of Fractions is 1356810.Finally, LCM of Fractions for 49/79, 78/77, 355/940 is 1356810.