Least Common Multiple of 819/48, 1834/970

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 819/48, 1834/970 quickly i.e. 107289 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 819/48, 1834/970 is 107289.

LCM(819/48, 1834/970) = 107289

LCM of 819/48, 1834/970

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 819/48,1834/970

Given numbers are 819/48,1834/970

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 819,1834

Least Common Multiple of Numerators i.e. LCM of 819,1834 is 214578.

GCF of Denominators means GCF of 48,970 as per the given fractions.

GCF of 48,970 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 819,1834

LCM of Fractions 819/48,1834/970 is 107289

7 819, 1834
117, 262

∴ So the LCM of the given numbers is 7 x 117 x 262 = 214578

Least Common Multiple of 819,1834 with GCF Formula

Least Common Multiple of 819,1834 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 819,1834 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(819,1834) = 7

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

GCF(819,1834) x common factors =7 x 1 = 7

LCM(819,1834) = ( 819 × 1834 ) / 7

LCM(819,1834) = 1502046 / 7

LCM(819,1834) = 214578


Lets's calculate GCF of 48,970

2 48, 970
24, 485

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 214578/2

Therefore the LCM of Fractions 819/48,1834/970 is 107289

Greatest Common Factor of 48,970 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,970 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Greatest Common Factor

We found the factors 48,970 . The biggest common factor number is the GCF number.
So the greatest common factor 48,970 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 819/48, 1834/970

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 819/48, 1834/970?

Answer: LCM of Numerators as per given numbers 819/48, 1834/970 is

LCM of Numerators i.e. for 819,1834 is 214578

GCF of denominators i.e. for 48,970 is 2.

Thus, LCM of Fractions is 107289.Finally, LCM of Fractions for 819/48, 1834/970 is 107289.