Least Common Multiple of 7182/170, 4420/8774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7182/170, 4420/8774 quickly i.e. 7936110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7182/170, 4420/8774 is 7936110.

LCM(7182/170, 4420/8774) = 7936110

LCM of 7182/170, 4420/8774

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 7182/170,4420/8774

Given numbers are 7182/170,4420/8774

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 7182,4420

Least Common Multiple of Numerators i.e. LCM of 7182,4420 is 15872220.

GCF of Denominators means GCF of 170,8774 as per the given fractions.

GCF of 170,8774 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7182,4420

LCM of Fractions 7182/170,4420/8774 is 7936110

2 7182, 4420
3591, 2210

∴ So the LCM of the given numbers is 2 x 3591 x 2210 = 15872220

Least Common Multiple of 7182,4420 with GCF Formula

Least Common Multiple of 7182,4420 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 7182,4420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7182,4420) = 2

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

GCF(7182,4420) x common factors =2 x 1 = 2

LCM(7182,4420) = ( 7182 × 4420 ) / 2

LCM(7182,4420) = 31744440 / 2

LCM(7182,4420) = 15872220


Lets's calculate GCF of 170,8774

2 170, 8774
85, 4387

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15872220/2

Therefore the LCM of Fractions 7182/170,4420/8774 is 7936110

Greatest Common Factor of 170,8774 By Matching Biggest Common Factor Method

Greatest Common Factor of 170,8774 By Matching Biggest Common Factor Method

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Factors of 8774

List of positive integer factors of 8774 that divides 8774 without a remainder.

1,2,41,82,107,214,4387,8774

Greatest Common Factor

We found the factors 170,8774 . The biggest common factor number is the GCF number.
So the greatest common factor 170,8774 is 2.


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 7182/170, 4420/8774

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 7182/170, 4420/8774?

Answer: LCM of Numerators as per given numbers 7182/170, 4420/8774 is

LCM of Numerators i.e. for 7182,4420 is 15872220

GCF of denominators i.e. for 170,8774 is 2.

Thus, LCM of Fractions is 7936110.Finally, LCM of Fractions for 7182/170, 4420/8774 is 7936110.