Least Common Multiple of 6739/850, 1760/4590

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6739/850, 1760/4590 quickly i.e. 11860640/170 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6739/850, 1760/4590 is 11860640/170.

LCM(6739/850, 1760/4590) = 11860640/170

LCM of 6739/850, 1760/4590

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 6739/850,1760/4590

Given numbers are 6739/850,1760/4590

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 6739,1760

Least Common Multiple of Numerators i.e. LCM of 6739,1760 is 11860640.

GCF of Denominators means GCF of 850,4590 as per the given fractions.

GCF of 850,4590 is 170 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6739,1760

LCM of Fractions 6739/850,1760/4590 is 11860640/170

Given numbers has no common factors except 1. So, there LCM is their product i.e 11860640

Least Common Multiple of 6739,1760 with GCF Formula

Least Common Multiple of 6739,1760 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 6739,1760 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6739,1760) = 1

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

GCF(6739,1760) x common factors =1 x 1 = 1

LCM(6739,1760) = ( 6739 × 1760 ) / 1

LCM(6739,1760) = 11860640 / 1

LCM(6739,1760) = 11860640


Lets's calculate GCF of 850,4590

2 850, 4590
5 425, 2295
17 85, 459
5, 27

∴ So the GCF of the given numbers is 2 x 5 x 17 = 170

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11860640/170

Therefore the LCM of Fractions 6739/850,1760/4590 is 11860640/170

Greatest Common Factor of 850,4590 By Matching Biggest Common Factor Method

Greatest Common Factor of 850,4590 By Matching Biggest Common Factor Method

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1,2,5,10,17,25,34,50,85,170,425,850

Factors of 4590

List of positive integer factors of 4590 that divides 4590 without a remainder.

1,2,3,5,6,9,10,15,17,18,27,30,34,45,51,54,85,90,102,135,153,170,255,270,306,459,510,765,918,1530,2295,4590

Greatest Common Factor

We found the factors 850,4590 . The biggest common factor number is the GCF number.
So the greatest common factor 850,4590 is 170.


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 6739/850, 1760/4590

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 6739/850, 1760/4590?

Answer: LCM of Numerators as per given numbers 6739/850, 1760/4590 is

LCM of Numerators i.e. for 6739,1760 is 11860640

GCF of denominators i.e. for 850,4590 is 170.

Thus, LCM of Fractions is 11860640/170.Finally, LCM of Fractions for 6739/850, 1760/4590 is 11860640/170.