Least Common Multiple of 46/830, 6125/9844

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/830, 6125/9844 quickly i.e. 140875 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/830, 6125/9844 is 140875.

LCM(46/830, 6125/9844) = 140875

LCM of 46/830, 6125/9844

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 46/830,6125/9844

Given numbers are 46/830,6125/9844

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 46,6125

Least Common Multiple of Numerators i.e. LCM of 46,6125 is 281750.

GCF of Denominators means GCF of 830,9844 as per the given fractions.

GCF of 830,9844 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,6125

LCM of Fractions 46/830,6125/9844 is 140875

Given numbers has no common factors except 1. So, there LCM is their product i.e 281750

Least Common Multiple of 46,6125 with GCF Formula

Least Common Multiple of 46,6125 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 46,6125 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,6125) = 1

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

GCF(46,6125) x common factors =1 x 1 = 1

LCM(46,6125) = ( 46 × 6125 ) / 1

LCM(46,6125) = 281750 / 1

LCM(46,6125) = 281750


Lets's calculate GCF of 830,9844

2 830, 9844
415, 4922

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 281750/2

Therefore the LCM of Fractions 46/830,6125/9844 is 140875

Greatest Common Factor of 830,9844 By Matching Biggest Common Factor Method

Greatest Common Factor of 830,9844 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 9844

List of positive integer factors of 9844 that divides 9844 without a remainder.

1,2,4,23,46,92,107,214,428,2461,4922,9844

Greatest Common Factor

We found the factors 830,9844 . The biggest common factor number is the GCF number.
So the greatest common factor 830,9844 is 2.


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 46/830, 6125/9844

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 46/830, 6125/9844?

Answer: LCM of Numerators as per given numbers 46/830, 6125/9844 is

LCM of Numerators i.e. for 46,6125 is 281750

GCF of denominators i.e. for 830,9844 is 2.

Thus, LCM of Fractions is 140875.Finally, LCM of Fractions for 46/830, 6125/9844 is 140875.