Least Common Multiple of 869/830, 6172/9321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 869/830, 6172/9321 quickly i.e. 5363468 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 869/830, 6172/9321 is 5363468.

LCM(869/830, 6172/9321) = 5363468

LCM of 869/830, 6172/9321

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 869/830,6172/9321

Given numbers are 869/830,6172/9321

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 869,6172

Least Common Multiple of Numerators i.e. LCM of 869,6172 is 5363468.

GCF of Denominators means GCF of 830,9321 as per the given fractions.

GCF of 830,9321 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 869,6172

LCM of Fractions 869/830,6172/9321 is 5363468

Given numbers has no common factors except 1. So, there LCM is their product i.e 5363468

Least Common Multiple of 869,6172 with GCF Formula

Least Common Multiple of 869,6172 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 869,6172 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(869,6172) = 1

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

GCF(869,6172) x common factors =1 x 1 = 1

LCM(869,6172) = ( 869 × 6172 ) / 1

LCM(869,6172) = 5363468 / 1

LCM(869,6172) = 5363468


Lets's calculate GCF of 830,9321

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5363468/1

Therefore the LCM of Fractions 869/830,6172/9321 is 5363468

Greatest Common Factor of 830,9321 By Matching Biggest Common Factor Method

Greatest Common Factor of 830,9321 By Matching Biggest Common Factor Method

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Factors of 9321

List of positive integer factors of 9321 that divides 9321 without a remainder.

1,3,13,39,239,717,3107,9321

Greatest Common Factor

We found the factors 830,9321 . The biggest common factor number is the GCF number.
So the greatest common factor 830,9321 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 869/830, 6172/9321

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 869/830, 6172/9321?

Answer: LCM of Numerators as per given numbers 869/830, 6172/9321 is

LCM of Numerators i.e. for 869,6172 is 5363468

GCF of denominators i.e. for 830,9321 is 1.

Thus, LCM of Fractions is 5363468.Finally, LCM of Fractions for 869/830, 6172/9321 is 5363468.