Least Common Multiple of 113/757, 1800/726

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 113/757, 1800/726 quickly i.e. 203400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 113/757, 1800/726 is 203400.

LCM(113/757, 1800/726) = 203400

LCM of 113/757, 1800/726

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 113/757,1800/726

Given numbers are 113/757,1800/726

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 113,1800

Least Common Multiple of Numerators i.e. LCM of 113,1800 is 203400.

GCF of Denominators means GCF of 757,726 as per the given fractions.

GCF of 757,726 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 113,1800

LCM of Fractions 113/757,1800/726 is 203400

Given numbers has no common factors except 1. So, there LCM is their product i.e 203400

Least Common Multiple of 113,1800 with GCF Formula

Least Common Multiple of 113,1800 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 113,1800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(113,1800) = 1

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

GCF(113,1800) x common factors =1 x 1 = 1

LCM(113,1800) = ( 113 × 1800 ) / 1

LCM(113,1800) = 203400 / 1

LCM(113,1800) = 203400


Lets's calculate GCF of 757,726

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 203400/1

Therefore the LCM of Fractions 113/757,1800/726 is 203400

Greatest Common Factor of 757,726 By Matching Biggest Common Factor Method

Greatest Common Factor of 757,726 By Matching Biggest Common Factor Method

Factors of 757

List of positive integer factors of 757 that divides 757 without a remainder.

1,757

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 757,726 . The biggest common factor number is the GCF number.
So the greatest common factor 757,726 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 113/757, 1800/726

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 113/757, 1800/726?

Answer: LCM of Numerators as per given numbers 113/757, 1800/726 is

LCM of Numerators i.e. for 113,1800 is 203400

GCF of denominators i.e. for 757,726 is 1.

Thus, LCM of Fractions is 203400.Finally, LCM of Fractions for 113/757, 1800/726 is 203400.