Least Common Multiple of 298/851, 366/593, 169/141

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 298/851, 366/593, 169/141 quickly i.e. 9216246 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 298/851, 366/593, 169/141 is 9216246.

LCM(298/851, 366/593, 169/141) = 9216246

LCM of 298/851, 366/593, 169/141

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 298/851,366/593,169/141

Given numbers are 298/851,366/593,169/141

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 298,366,169

Least Common Multiple of Numerators i.e. LCM of 298,366,169 is 9216246.

GCF of Denominators means GCF of 851,593,141 as per the given fractions.

GCF of 851,593,141 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 298,366,169

LCM of Fractions 298/851,366/593,169/141 is 9216246

2 298, 366, 169
149, 183, 169

∴ So the LCM of the given numbers is 2 x 149 x 183 x 169 = 9216246

Least Common Multiple of 298,366,169 with GCF Formula

Least Common Multiple of 298,366,169 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 298,366,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(298,366,169) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(298,366,169) x common factors =1 x 2 = 2

LCM(298,366,169) = ( 298 × 366 × 169 ) / 2

LCM(298,366,169) = 18432492 / 2

LCM(298,366,169) = 9216246


Lets's calculate GCF of 851,593,141

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9216246/1

Therefore the LCM of Fractions 298/851,366/593,169/141 is 9216246

Greatest Common Factor of 851,593,141 By Matching Biggest Common Factor Method

Greatest Common Factor of 851,593,141 By Matching Biggest Common Factor Method

Factors of 851

List of positive integer factors of 851 that divides 851 without a remainder.

1,23,37,851

Factors of 593

List of positive integer factors of 593 that divides 593 without a remainder.

1,593

Factors of 141

List of positive integer factors of 141 that divides 141 without a remainder.

1,3,47,141

Greatest Common Factor

We found the factors 851,593,141 . The biggest common factor number is the GCF number.
So the greatest common factor 851,593,141 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 298/851, 366/593, 169/141

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 298/851, 366/593, 169/141?

Answer: LCM of Numerators as per given numbers 298/851, 366/593, 169/141 is

LCM of Numerators i.e. for 298,366,169 is 9216246

GCF of denominators i.e. for 851,593,141 is 1.

Thus, LCM of Fractions is 9216246.Finally, LCM of Fractions for 298/851, 366/593, 169/141 is 9216246.