Least Common Multiple of 3082/177, 5270/760

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3082/177, 5270/760 quickly i.e. 8121070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3082/177, 5270/760 is 8121070.

LCM(3082/177, 5270/760) = 8121070

LCM of 3082/177, 5270/760

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 3082/177,5270/760

Given numbers are 3082/177,5270/760

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 3082,5270

Least Common Multiple of Numerators i.e. LCM of 3082,5270 is 8121070.

GCF of Denominators means GCF of 177,760 as per the given fractions.

GCF of 177,760 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3082,5270

LCM of Fractions 3082/177,5270/760 is 8121070

2 3082, 5270
1541, 2635

∴ So the LCM of the given numbers is 2 x 1541 x 2635 = 8121070

Least Common Multiple of 3082,5270 with GCF Formula

Least Common Multiple of 3082,5270 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 3082,5270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3082,5270) = 2

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

GCF(3082,5270) x common factors =2 x 1 = 2

LCM(3082,5270) = ( 3082 × 5270 ) / 2

LCM(3082,5270) = 16242140 / 2

LCM(3082,5270) = 8121070


Lets's calculate GCF of 177,760

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8121070/1

Therefore the LCM of Fractions 3082/177,5270/760 is 8121070

Greatest Common Factor of 177,760 By Matching Biggest Common Factor Method

Greatest Common Factor of 177,760 By Matching Biggest Common Factor Method

Factors of 177

List of positive integer factors of 177 that divides 177 without a remainder.

1,3,59,177

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Greatest Common Factor

We found the factors 177,760 . The biggest common factor number is the GCF number.
So the greatest common factor 177,760 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 3082/177, 5270/760

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 3082/177, 5270/760?

Answer: LCM of Numerators as per given numbers 3082/177, 5270/760 is

LCM of Numerators i.e. for 3082,5270 is 8121070

GCF of denominators i.e. for 177,760 is 1.

Thus, LCM of Fractions is 8121070.Finally, LCM of Fractions for 3082/177, 5270/760 is 8121070.