Least Common Multiple of 7349/162, 8748/897

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7349/162, 8748/897 quickly i.e. 21429684 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7349/162, 8748/897 is 21429684.

LCM(7349/162, 8748/897) = 21429684

LCM of 7349/162, 8748/897

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 7349/162,8748/897

Given numbers are 7349/162,8748/897

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 7349,8748

Least Common Multiple of Numerators i.e. LCM of 7349,8748 is 64289052.

GCF of Denominators means GCF of 162,897 as per the given fractions.

GCF of 162,897 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7349,8748

LCM of Fractions 7349/162,8748/897 is 21429684

Given numbers has no common factors except 1. So, there LCM is their product i.e 64289052

Least Common Multiple of 7349,8748 with GCF Formula

Least Common Multiple of 7349,8748 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 7349,8748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7349,8748) = 1

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

GCF(7349,8748) x common factors =1 x 1 = 1

LCM(7349,8748) = ( 7349 × 8748 ) / 1

LCM(7349,8748) = 64289052 / 1

LCM(7349,8748) = 64289052


Lets's calculate GCF of 162,897

3 162, 897
54, 299

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64289052/3

Therefore the LCM of Fractions 7349/162,8748/897 is 21429684

Greatest Common Factor of 162,897 By Matching Biggest Common Factor Method

Greatest Common Factor of 162,897 By Matching Biggest Common Factor Method

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Factors of 897

List of positive integer factors of 897 that divides 897 without a remainder.

1,3,13,23,39,69,299,897

Greatest Common Factor

We found the factors 162,897 . The biggest common factor number is the GCF number.
So the greatest common factor 162,897 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 7349/162, 8748/897

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 7349/162, 8748/897?

Answer: LCM of Numerators as per given numbers 7349/162, 8748/897 is

LCM of Numerators i.e. for 7349,8748 is 64289052

GCF of denominators i.e. for 162,897 is 3.

Thus, LCM of Fractions is 21429684.Finally, LCM of Fractions for 7349/162, 8748/897 is 21429684.