Least Common Multiple of 8698/484, 7854/3478

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8698/484, 7854/3478 quickly i.e. 17078523 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8698/484, 7854/3478 is 17078523.

LCM(8698/484, 7854/3478) = 17078523

LCM of 8698/484, 7854/3478

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 8698/484,7854/3478

Given numbers are 8698/484,7854/3478

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 8698,7854

Least Common Multiple of Numerators i.e. LCM of 8698,7854 is 34157046.

GCF of Denominators means GCF of 484,3478 as per the given fractions.

GCF of 484,3478 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8698,7854

LCM of Fractions 8698/484,7854/3478 is 17078523

2 8698, 7854
4349, 3927

∴ So the LCM of the given numbers is 2 x 4349 x 3927 = 34157046

Least Common Multiple of 8698,7854 with GCF Formula

Least Common Multiple of 8698,7854 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 8698,7854 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8698,7854) = 2

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

GCF(8698,7854) x common factors =2 x 1 = 2

LCM(8698,7854) = ( 8698 × 7854 ) / 2

LCM(8698,7854) = 68314092 / 2

LCM(8698,7854) = 34157046


Lets's calculate GCF of 484,3478

2 484, 3478
242, 1739

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34157046/2

Therefore the LCM of Fractions 8698/484,7854/3478 is 17078523

Greatest Common Factor of 484,3478 By Matching Biggest Common Factor Method

Greatest Common Factor of 484,3478 By Matching Biggest Common Factor Method

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Factors of 3478

List of positive integer factors of 3478 that divides 3478 without a remainder.

1,2,37,47,74,94,1739,3478

Greatest Common Factor

We found the factors 484,3478 . The biggest common factor number is the GCF number.
So the greatest common factor 484,3478 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 8698/484, 7854/3478

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 8698/484, 7854/3478?

Answer: LCM of Numerators as per given numbers 8698/484, 7854/3478 is

LCM of Numerators i.e. for 8698,7854 is 34157046

GCF of denominators i.e. for 484,3478 is 2.

Thus, LCM of Fractions is 17078523.Finally, LCM of Fractions for 8698/484, 7854/3478 is 17078523.