Least Common Multiple of 364/143, 142/762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 364/143, 142/762 quickly i.e. 25844 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 364/143, 142/762 is 25844.

LCM(364/143, 142/762) = 25844

LCM of 364/143, 142/762

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 364/143,142/762

Given numbers are 364/143,142/762

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 364,142

Least Common Multiple of Numerators i.e. LCM of 364,142 is 25844.

GCF of Denominators means GCF of 143,762 as per the given fractions.

GCF of 143,762 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 364,142

LCM of Fractions 364/143,142/762 is 25844

2 364, 142
182, 71

∴ So the LCM of the given numbers is 2 x 182 x 71 = 25844

Least Common Multiple of 364,142 with GCF Formula

Least Common Multiple of 364,142 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 364,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(364,142) = 2

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

GCF(364,142) x common factors =2 x 1 = 2

LCM(364,142) = ( 364 × 142 ) / 2

LCM(364,142) = 51688 / 2

LCM(364,142) = 25844


Lets's calculate GCF of 143,762

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25844/1

Therefore the LCM of Fractions 364/143,142/762 is 25844

Greatest Common Factor of 143,762 By Matching Biggest Common Factor Method

Greatest Common Factor of 143,762 By Matching Biggest Common Factor Method

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Greatest Common Factor

We found the factors 143,762 . The biggest common factor number is the GCF number.
So the greatest common factor 143,762 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 364/143, 142/762

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 364/143, 142/762?

Answer: LCM of Numerators as per given numbers 364/143, 142/762 is

LCM of Numerators i.e. for 364,142 is 25844

GCF of denominators i.e. for 143,762 is 1.

Thus, LCM of Fractions is 25844.Finally, LCM of Fractions for 364/143, 142/762 is 25844.