Least Common Multiple of 1840/34, 9798/688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1840/34, 9798/688 quickly i.e. 195960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1840/34, 9798/688 is 195960.

LCM(1840/34, 9798/688) = 195960

LCM of 1840/34, 9798/688

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 1840/34,9798/688

Given numbers are 1840/34,9798/688

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 1840,9798

Least Common Multiple of Numerators i.e. LCM of 1840,9798 is 391920.

GCF of Denominators means GCF of 34,688 as per the given fractions.

GCF of 34,688 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1840,9798

LCM of Fractions 1840/34,9798/688 is 195960

2 1840, 9798
23 920, 4899
40, 213

∴ So the LCM of the given numbers is 2 x 23 x 40 x 213 = 391920

Least Common Multiple of 1840,9798 with GCF Formula

Least Common Multiple of 1840,9798 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 1840,9798 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1840,9798) = 46

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

GCF(1840,9798) x common factors =46 x 1 = 46

LCM(1840,9798) = ( 1840 × 9798 ) / 46

LCM(1840,9798) = 18028320 / 46

LCM(1840,9798) = 391920


Lets's calculate GCF of 34,688

2 34, 688
17, 344

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 391920/2

Therefore the LCM of Fractions 1840/34,9798/688 is 195960

Greatest Common Factor of 34,688 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,688 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Greatest Common Factor

We found the factors 34,688 . The biggest common factor number is the GCF number.
So the greatest common factor 34,688 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 1840/34, 9798/688

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 1840/34, 9798/688?

Answer: LCM of Numerators as per given numbers 1840/34, 9798/688 is

LCM of Numerators i.e. for 1840,9798 is 391920

GCF of denominators i.e. for 34,688 is 2.

Thus, LCM of Fractions is 195960.Finally, LCM of Fractions for 1840/34, 9798/688 is 195960.