Least Common Multiple of 870/66, 298/5225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 870/66, 298/5225 quickly i.e. 129630/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 870/66, 298/5225 is 129630/11.

LCM(870/66, 298/5225) = 129630/11

LCM of 870/66, 298/5225

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 870/66,298/5225

Given numbers are 870/66,298/5225

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 66,5225 as per the given fractions.

GCF of 66,5225 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 870,298

LCM of Fractions 870/66,298/5225 is 129630/11

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 66,5225

11 66, 5225
6, 475

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 129630/11

Therefore the LCM of Fractions 870/66,298/5225 is 129630/11

Greatest Common Factor of 66,5225 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,5225 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 5225

List of positive integer factors of 5225 that divides 5225 without a remainder.

1,5,11,19,25,55,95,209,275,475,1045,5225

Greatest Common Factor

We found the factors 66,5225 . The biggest common factor number is the GCF number.
So the greatest common factor 66,5225 is 11.


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 870/66, 298/5225

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 870/66, 298/5225?

Answer: LCM of Numerators as per given numbers 870/66, 298/5225 is

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

GCF of denominators i.e. for 66,5225 is 11.

Thus, LCM of Fractions is 129630/11.Finally, LCM of Fractions for 870/66, 298/5225 is 129630/11.