Least Common Multiple of 1175/308, 2779/1738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1175/308, 2779/1738 quickly i.e. 3265325/22 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1175/308, 2779/1738 is 3265325/22.

LCM(1175/308, 2779/1738) = 3265325/22

LCM of 1175/308, 2779/1738

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 1175/308,2779/1738

Given numbers are 1175/308,2779/1738

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 1175,2779

Least Common Multiple of Numerators i.e. LCM of 1175,2779 is 3265325.

GCF of Denominators means GCF of 308,1738 as per the given fractions.

GCF of 308,1738 is 22 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1175,2779

LCM of Fractions 1175/308,2779/1738 is 3265325/22

Given numbers has no common factors except 1. So, there LCM is their product i.e 3265325

Least Common Multiple of 1175,2779 with GCF Formula

Least Common Multiple of 1175,2779 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 1175,2779 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1175,2779) = 1

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

GCF(1175,2779) x common factors =1 x 1 = 1

LCM(1175,2779) = ( 1175 × 2779 ) / 1

LCM(1175,2779) = 3265325 / 1

LCM(1175,2779) = 3265325


Lets's calculate GCF of 308,1738

2 308, 1738
11 154, 869
14, 79

∴ So the GCF of the given numbers is 2 x 11 = 22

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3265325/22

Therefore the LCM of Fractions 1175/308,2779/1738 is 3265325/22

Greatest Common Factor of 308,1738 By Matching Biggest Common Factor Method

Greatest Common Factor of 308,1738 By Matching Biggest Common Factor Method

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Factors of 1738

List of positive integer factors of 1738 that divides 1738 without a remainder.

1,2,11,22,79,158,869,1738

Greatest Common Factor

We found the factors 308,1738 . The biggest common factor number is the GCF number.
So the greatest common factor 308,1738 is 22.


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 1175/308, 2779/1738

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 1175/308, 2779/1738?

Answer: LCM of Numerators as per given numbers 1175/308, 2779/1738 is

LCM of Numerators i.e. for 1175,2779 is 3265325

GCF of denominators i.e. for 308,1738 is 22.

Thus, LCM of Fractions is 3265325/22.Finally, LCM of Fractions for 1175/308, 2779/1738 is 3265325/22.