Least Common Multiple of 1698/849, 8276/7488

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1698/849, 8276/7488 quickly i.e. 2342108 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1698/849, 8276/7488 is 2342108.

LCM(1698/849, 8276/7488) = 2342108

LCM of 1698/849, 8276/7488

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 1698/849,8276/7488

Given numbers are 1698/849,8276/7488

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 1698,8276

Least Common Multiple of Numerators i.e. LCM of 1698,8276 is 7026324.

GCF of Denominators means GCF of 849,7488 as per the given fractions.

GCF of 849,7488 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1698,8276

LCM of Fractions 1698/849,8276/7488 is 2342108

2 1698, 8276
849, 4138

∴ So the LCM of the given numbers is 2 x 849 x 4138 = 7026324

Least Common Multiple of 1698,8276 with GCF Formula

Least Common Multiple of 1698,8276 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 1698,8276 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1698,8276) = 2

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

GCF(1698,8276) x common factors =2 x 1 = 2

LCM(1698,8276) = ( 1698 × 8276 ) / 2

LCM(1698,8276) = 14052648 / 2

LCM(1698,8276) = 7026324


Lets's calculate GCF of 849,7488

3 849, 7488
283, 2496

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7026324/3

Therefore the LCM of Fractions 1698/849,8276/7488 is 2342108

Greatest Common Factor of 849,7488 By Matching Biggest Common Factor Method

Greatest Common Factor of 849,7488 By Matching Biggest Common Factor Method

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

Factors of 7488

List of positive integer factors of 7488 that divides 7488 without a remainder.

1,2,3,4,6,8,9,12,13,16,18,24,26,32,36,39,48,52,64,72,78,96,104,117,144,156,192,208,234,288,312,416,468,576,624,832,936,1248,1872,2496,3744,7488

Greatest Common Factor

We found the factors 849,7488 . The biggest common factor number is the GCF number.
So the greatest common factor 849,7488 is 3.


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 1698/849, 8276/7488

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 1698/849, 8276/7488?

Answer: LCM of Numerators as per given numbers 1698/849, 8276/7488 is

LCM of Numerators i.e. for 1698,8276 is 7026324

GCF of denominators i.e. for 849,7488 is 3.

Thus, LCM of Fractions is 2342108.Finally, LCM of Fractions for 1698/849, 8276/7488 is 2342108.