Least Common Multiple of 350/90, 198/5022

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 350/90, 198/5022 quickly i.e. 1925 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 350/90, 198/5022 is 1925.

LCM(350/90, 198/5022) = 1925

LCM of 350/90, 198/5022

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 350/90,198/5022

Given numbers are 350/90,198/5022

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 350,198

Least Common Multiple of Numerators i.e. LCM of 350,198 is 34650.

GCF of Denominators means GCF of 90,5022 as per the given fractions.

GCF of 90,5022 is 18 as it is the largest common factor for these numbers.

Lets's calculate LCM of 350,198

LCM of Fractions 350/90,198/5022 is 1925

2 350, 198
175, 99

∴ So the LCM of the given numbers is 2 x 175 x 99 = 34650

Least Common Multiple of 350,198 with GCF Formula

Least Common Multiple of 350,198 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 350,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(350,198) = 2

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

GCF(350,198) x common factors =2 x 1 = 2

LCM(350,198) = ( 350 × 198 ) / 2

LCM(350,198) = 69300 / 2

LCM(350,198) = 34650


Lets's calculate GCF of 90,5022

2 90, 5022
3 45, 2511
3 15, 837
5, 279

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34650/18

Therefore the LCM of Fractions 350/90,198/5022 is 1925

Greatest Common Factor of 90,5022 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,5022 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 5022

List of positive integer factors of 5022 that divides 5022 without a remainder.

1,2,3,6,9,18,27,31,54,62,81,93,162,186,279,558,837,1674,2511,5022

Greatest Common Factor

We found the factors 90,5022 . The biggest common factor number is the GCF number.
So the greatest common factor 90,5022 is 18.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 350/90, 198/5022

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 350/90, 198/5022?

Answer: LCM of Numerators as per given numbers 350/90, 198/5022 is

LCM of Numerators i.e. for 350,198 is 34650

GCF of denominators i.e. for 90,5022 is 18.

Thus, LCM of Fractions is 1925.Finally, LCM of Fractions for 350/90, 198/5022 is 1925.