Least Common Multiple of 364/716, 2534/5890

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 364/716, 2534/5890 quickly i.e. 32942 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 364/716, 2534/5890 is 32942.

LCM(364/716, 2534/5890) = 32942

LCM of 364/716, 2534/5890

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 364/716,2534/5890

Given numbers are 364/716,2534/5890

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 364,2534

Least Common Multiple of Numerators i.e. LCM of 364,2534 is 65884.

GCF of Denominators means GCF of 716,5890 as per the given fractions.

GCF of 716,5890 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 364,2534

LCM of Fractions 364/716,2534/5890 is 32942

2 364, 2534
7 182, 1267
26, 181

∴ So the LCM of the given numbers is 2 x 7 x 26 x 181 = 65884

Least Common Multiple of 364,2534 with GCF Formula

Least Common Multiple of 364,2534 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 364,2534 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(364,2534) = 14

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

GCF(364,2534) x common factors =14 x 1 = 14

LCM(364,2534) = ( 364 × 2534 ) / 14

LCM(364,2534) = 922376 / 14

LCM(364,2534) = 65884


Lets's calculate GCF of 716,5890

2 716, 5890
358, 2945

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65884/2

Therefore the LCM of Fractions 364/716,2534/5890 is 32942

Greatest Common Factor of 716,5890 By Matching Biggest Common Factor Method

Greatest Common Factor of 716,5890 By Matching Biggest Common Factor Method

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Factors of 5890

List of positive integer factors of 5890 that divides 5890 without a remainder.

1,2,5,10,19,31,38,62,95,155,190,310,589,1178,2945,5890

Greatest Common Factor

We found the factors 716,5890 . The biggest common factor number is the GCF number.
So the greatest common factor 716,5890 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 364/716, 2534/5890

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 364/716, 2534/5890?

Answer: LCM of Numerators as per given numbers 364/716, 2534/5890 is

LCM of Numerators i.e. for 364,2534 is 65884

GCF of denominators i.e. for 716,5890 is 2.

Thus, LCM of Fractions is 32942.Finally, LCM of Fractions for 364/716, 2534/5890 is 32942.