Least Common Multiple of 760/23, 325/737

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 760/23, 325/737 quickly i.e. 49400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 760/23, 325/737 is 49400.

LCM(760/23, 325/737) = 49400

LCM of 760/23, 325/737

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 760/23,325/737

Given numbers are 760/23,325/737

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 760,325

Least Common Multiple of Numerators i.e. LCM of 760,325 is 49400.

GCF of Denominators means GCF of 23,737 as per the given fractions.

GCF of 23,737 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 760,325

LCM of Fractions 760/23,325/737 is 49400

5 760, 325
152, 65

∴ So the LCM of the given numbers is 5 x 152 x 65 = 49400

Least Common Multiple of 760,325 with GCF Formula

Least Common Multiple of 760,325 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 760,325 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(760,325) = 5

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

GCF(760,325) x common factors =5 x 1 = 5

LCM(760,325) = ( 760 × 325 ) / 5

LCM(760,325) = 247000 / 5

LCM(760,325) = 49400


Lets's calculate GCF of 23,737

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49400/1

Therefore the LCM of Fractions 760/23,325/737 is 49400

Greatest Common Factor of 23,737 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,737 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 737

List of positive integer factors of 737 that divides 737 without a remainder.

1,11,67,737

Greatest Common Factor

We found the factors 23,737 . The biggest common factor number is the GCF number.
So the greatest common factor 23,737 is 1.


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 760/23, 325/737

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 760/23, 325/737?

Answer: LCM of Numerators as per given numbers 760/23, 325/737 is

LCM of Numerators i.e. for 760,325 is 49400

GCF of denominators i.e. for 23,737 is 1.

Thus, LCM of Fractions is 49400.Finally, LCM of Fractions for 760/23, 325/737 is 49400.