Least Common Multiple of 80/862, 198/732, 870/297

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/862, 198/732, 870/297 quickly i.e. 229680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/862, 198/732, 870/297 is 229680.

LCM(80/862, 198/732, 870/297) = 229680

LCM of 80/862, 198/732, 870/297

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 80/862,198/732,870/297

Given numbers are 80/862,198/732,870/297

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 80,198,870

Least Common Multiple of Numerators i.e. LCM of 80,198,870 is 229680.

GCF of Denominators means GCF of 862,732,297 as per the given fractions.

GCF of 862,732,297 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,198,870

LCM of Fractions 80/862,198/732,870/297 is 229680

2 80, 198, 870
3 40, 99, 435
5 40, 33, 145
8, 33, 29

∴ So the LCM of the given numbers is 2 x 3 x 5 x 8 x 33 x 29 = 229680

Least Common Multiple of 80,198,870 with GCF Formula

Least Common Multiple of 80,198,870 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 80,198,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,198,870) = 2

common factors(in case of two or more numbers have common factors) = 30

GCF(80,198,870) x common factors =2 x 30 = 60

LCM(80,198,870) = ( 80 × 198 × 870 ) / 60

LCM(80,198,870) = 13780800 / 60

LCM(80,198,870) = 229680


Lets's calculate GCF of 862,732,297

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 229680/1

Therefore the LCM of Fractions 80/862,198/732,870/297 is 229680

Greatest Common Factor of 862,732,297 By Matching Biggest Common Factor Method

Greatest Common Factor of 862,732,297 By Matching Biggest Common Factor Method

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Factors of 297

List of positive integer factors of 297 that divides 297 without a remainder.

1,3,9,11,27,33,99,297

Greatest Common Factor

We found the factors 862,732,297 . The biggest common factor number is the GCF number.
So the greatest common factor 862,732,297 is 1.


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 80/862, 198/732, 870/297

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 80/862, 198/732, 870/297?

Answer: LCM of Numerators as per given numbers 80/862, 198/732, 870/297 is

LCM of Numerators i.e. for 80,198,870 is 229680

GCF of denominators i.e. for 862,732,297 is 1.

Thus, LCM of Fractions is 229680.Finally, LCM of Fractions for 80/862, 198/732, 870/297 is 229680.