Least Common Multiple of 298/890, 254/985

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 298/890, 254/985 quickly i.e. 37846/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 298/890, 254/985 is 37846/5.

LCM(298/890, 254/985) = 37846/5

LCM of 298/890, 254/985

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 298/890,254/985

Given numbers are 298/890,254/985

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 298,254

Least Common Multiple of Numerators i.e. LCM of 298,254 is 37846.

GCF of Denominators means GCF of 890,985 as per the given fractions.

GCF of 890,985 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 298,254

LCM of Fractions 298/890,254/985 is 37846/5

2 298, 254
149, 127

∴ So the LCM of the given numbers is 2 x 149 x 127 = 37846

Least Common Multiple of 298,254 with GCF Formula

Least Common Multiple of 298,254 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 298,254 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(298,254) = 2

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

GCF(298,254) x common factors =2 x 1 = 2

LCM(298,254) = ( 298 × 254 ) / 2

LCM(298,254) = 75692 / 2

LCM(298,254) = 37846


Lets's calculate GCF of 890,985

5 890, 985
178, 197

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37846/5

Therefore the LCM of Fractions 298/890,254/985 is 37846/5

Greatest Common Factor of 890,985 By Matching Biggest Common Factor Method

Greatest Common Factor of 890,985 By Matching Biggest Common Factor Method

Factors of 890

List of positive integer factors of 890 that divides 890 without a remainder.

1,2,5,10,89,178,445,890

Factors of 985

List of positive integer factors of 985 that divides 985 without a remainder.

1,5,197,985

Greatest Common Factor

We found the factors 890,985 . The biggest common factor number is the GCF number.
So the greatest common factor 890,985 is 5.


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 298/890, 254/985

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 298/890, 254/985?

Answer: LCM of Numerators as per given numbers 298/890, 254/985 is

LCM of Numerators i.e. for 298,254 is 37846

GCF of denominators i.e. for 890,985 is 5.

Thus, LCM of Fractions is 37846/5.Finally, LCM of Fractions for 298/890, 254/985 is 37846/5.