Least Common Multiple of 852/28, 726/3493

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 852/28, 726/3493 quickly i.e. 103092/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 852/28, 726/3493 is 103092/7.

LCM(852/28, 726/3493) = 103092/7

LCM of 852/28, 726/3493

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 852/28,726/3493

Given numbers are 852/28,726/3493

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 852,726

Least Common Multiple of Numerators i.e. LCM of 852,726 is 103092.

GCF of Denominators means GCF of 28,3493 as per the given fractions.

GCF of 28,3493 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 852,726

LCM of Fractions 852/28,726/3493 is 103092/7

2 852, 726
3 426, 363
142, 121

∴ So the LCM of the given numbers is 2 x 3 x 142 x 121 = 103092

Least Common Multiple of 852,726 with GCF Formula

Least Common Multiple of 852,726 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 852,726 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(852,726) = 6

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

GCF(852,726) x common factors =6 x 1 = 6

LCM(852,726) = ( 852 × 726 ) / 6

LCM(852,726) = 618552 / 6

LCM(852,726) = 103092


Lets's calculate GCF of 28,3493

7 28, 3493
4, 499

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 103092/7

Therefore the LCM of Fractions 852/28,726/3493 is 103092/7

Greatest Common Factor of 28,3493 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,3493 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 3493

List of positive integer factors of 3493 that divides 3493 without a remainder.

1,7,499,3493

Greatest Common Factor

We found the factors 28,3493 . The biggest common factor number is the GCF number.
So the greatest common factor 28,3493 is 7.


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 852/28, 726/3493

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 852/28, 726/3493?

Answer: LCM of Numerators as per given numbers 852/28, 726/3493 is

LCM of Numerators i.e. for 852,726 is 103092

GCF of denominators i.e. for 28,3493 is 7.

Thus, LCM of Fractions is 103092/7.Finally, LCM of Fractions for 852/28, 726/3493 is 103092/7.