Least Common Multiple of 802/292, 7148/810

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 802/292, 7148/810 quickly i.e. 1433174 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 802/292, 7148/810 is 1433174.

LCM(802/292, 7148/810) = 1433174

LCM of 802/292, 7148/810

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 802/292,7148/810

Given numbers are 802/292,7148/810

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 802,7148

Least Common Multiple of Numerators i.e. LCM of 802,7148 is 2866348.

GCF of Denominators means GCF of 292,810 as per the given fractions.

GCF of 292,810 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 802,7148

LCM of Fractions 802/292,7148/810 is 1433174

2 802, 7148
401, 3574

∴ So the LCM of the given numbers is 2 x 401 x 3574 = 2866348

Least Common Multiple of 802,7148 with GCF Formula

Least Common Multiple of 802,7148 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 802,7148 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(802,7148) = 2

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

GCF(802,7148) x common factors =2 x 1 = 2

LCM(802,7148) = ( 802 × 7148 ) / 2

LCM(802,7148) = 5732696 / 2

LCM(802,7148) = 2866348


Lets's calculate GCF of 292,810

2 292, 810
146, 405

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2866348/2

Therefore the LCM of Fractions 802/292,7148/810 is 1433174

Greatest Common Factor of 292,810 By Matching Biggest Common Factor Method

Greatest Common Factor of 292,810 By Matching Biggest Common Factor Method

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Greatest Common Factor

We found the factors 292,810 . The biggest common factor number is the GCF number.
So the greatest common factor 292,810 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 802/292, 7148/810

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 802/292, 7148/810?

Answer: LCM of Numerators as per given numbers 802/292, 7148/810 is

LCM of Numerators i.e. for 802,7148 is 2866348

GCF of denominators i.e. for 292,810 is 2.

Thus, LCM of Fractions is 1433174.Finally, LCM of Fractions for 802/292, 7148/810 is 1433174.