Least Common Multiple of 7098/50, 5782/170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7098/50, 5782/170 quickly i.e. 2931474/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7098/50, 5782/170 is 2931474/10.

LCM(7098/50, 5782/170) = 2931474/10

LCM of 7098/50, 5782/170

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 7098/50,5782/170

Given numbers are 7098/50,5782/170

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 7098,5782

Least Common Multiple of Numerators i.e. LCM of 7098,5782 is 2931474.

GCF of Denominators means GCF of 50,170 as per the given fractions.

GCF of 50,170 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7098,5782

LCM of Fractions 7098/50,5782/170 is 2931474/10

2 7098, 5782
7 3549, 2891
507, 413

∴ So the LCM of the given numbers is 2 x 7 x 507 x 413 = 2931474

Least Common Multiple of 7098,5782 with GCF Formula

Least Common Multiple of 7098,5782 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 7098,5782 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7098,5782) = 14

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

GCF(7098,5782) x common factors =14 x 1 = 14

LCM(7098,5782) = ( 7098 × 5782 ) / 14

LCM(7098,5782) = 41040636 / 14

LCM(7098,5782) = 2931474


Lets's calculate GCF of 50,170

2 50, 170
5 25, 85
5, 17

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2931474/10

Therefore the LCM of Fractions 7098/50,5782/170 is 2931474/10

Greatest Common Factor of 50,170 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,170 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 170

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

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

Greatest Common Factor

We found the factors 50,170 . The biggest common factor number is the GCF number.
So the greatest common factor 50,170 is 10.


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 7098/50, 5782/170

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 7098/50, 5782/170?

Answer: LCM of Numerators as per given numbers 7098/50, 5782/170 is

LCM of Numerators i.e. for 7098,5782 is 2931474

GCF of denominators i.e. for 50,170 is 10.

Thus, LCM of Fractions is 2931474/10.Finally, LCM of Fractions for 7098/50, 5782/170 is 2931474/10.