Least Common Multiple of 870/897, 298/177

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 870/897, 298/177 quickly i.e. 43210 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 870/897, 298/177 is 43210.

LCM(870/897, 298/177) = 43210

LCM of 870/897, 298/177

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 870/897,298/177

Given numbers are 870/897,298/177

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 870,298

Least Common Multiple of Numerators i.e. LCM of 870,298 is 129630.

GCF of Denominators means GCF of 897,177 as per the given fractions.

GCF of 897,177 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 870,298

LCM of Fractions 870/897,298/177 is 43210

2 870, 298
435, 149

∴ So the LCM of the given numbers is 2 x 435 x 149 = 129630

Least Common Multiple of 870,298 with GCF Formula

Least Common Multiple of 870,298 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 870,298 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(870,298) = 2

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

GCF(870,298) x common factors =2 x 1 = 2

LCM(870,298) = ( 870 × 298 ) / 2

LCM(870,298) = 259260 / 2

LCM(870,298) = 129630


Lets's calculate GCF of 897,177

3 897, 177
299, 59

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 129630/3

Therefore the LCM of Fractions 870/897,298/177 is 43210

Greatest Common Factor of 897,177 By Matching Biggest Common Factor Method

Greatest Common Factor of 897,177 By Matching Biggest Common Factor Method

Factors of 897

List of positive integer factors of 897 that divides 897 without a remainder.

1,3,13,23,39,69,299,897

Factors of 177

List of positive integer factors of 177 that divides 177 without a remainder.

1,3,59,177

Greatest Common Factor

We found the factors 897,177 . The biggest common factor number is the GCF number.
So the greatest common factor 897,177 is 3.


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 870/897, 298/177

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 870/897, 298/177?

Answer: LCM of Numerators as per given numbers 870/897, 298/177 is

LCM of Numerators i.e. for 870,298 is 129630

GCF of denominators i.e. for 897,177 is 3.

Thus, LCM of Fractions is 43210.Finally, LCM of Fractions for 870/897, 298/177 is 43210.