Least Common Multiple of 115/352, 7202/726

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 115/352, 7202/726 quickly i.e. 828230/22 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 115/352, 7202/726 is 828230/22.

LCM(115/352, 7202/726) = 828230/22

LCM of 115/352, 7202/726

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 115/352,7202/726

Given numbers are 115/352,7202/726

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 115,7202

Least Common Multiple of Numerators i.e. LCM of 115,7202 is 828230.

GCF of Denominators means GCF of 352,726 as per the given fractions.

GCF of 352,726 is 22 as it is the largest common factor for these numbers.

Lets's calculate LCM of 115,7202

LCM of Fractions 115/352,7202/726 is 828230/22

Given numbers has no common factors except 1. So, there LCM is their product i.e 828230

Least Common Multiple of 115,7202 with GCF Formula

Least Common Multiple of 115,7202 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 115,7202 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(115,7202) = 1

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

GCF(115,7202) x common factors =1 x 1 = 1

LCM(115,7202) = ( 115 × 7202 ) / 1

LCM(115,7202) = 828230 / 1

LCM(115,7202) = 828230


Lets's calculate GCF of 352,726

2 352, 726
11 176, 363
16, 33

∴ So the GCF of the given numbers is 2 x 11 = 22

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 828230/22

Therefore the LCM of Fractions 115/352,7202/726 is 828230/22

Greatest Common Factor of 352,726 By Matching Biggest Common Factor Method

Greatest Common Factor of 352,726 By Matching Biggest Common Factor Method

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Greatest Common Factor

We found the factors 352,726 . The biggest common factor number is the GCF number.
So the greatest common factor 352,726 is 22.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 115/352, 7202/726

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 115/352, 7202/726?

Answer: LCM of Numerators as per given numbers 115/352, 7202/726 is

LCM of Numerators i.e. for 115,7202 is 828230

GCF of denominators i.e. for 352,726 is 22.

Thus, LCM of Fractions is 828230/22.Finally, LCM of Fractions for 115/352, 7202/726 is 828230/22.