Least Common Multiple of 964/24, 142/7438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 964/24, 142/7438 quickly i.e. 34222 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 964/24, 142/7438 is 34222.

LCM(964/24, 142/7438) = 34222

LCM of 964/24, 142/7438

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 964/24,142/7438

Given numbers are 964/24,142/7438

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 964,142

Least Common Multiple of Numerators i.e. LCM of 964,142 is 68444.

GCF of Denominators means GCF of 24,7438 as per the given fractions.

GCF of 24,7438 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 964,142

LCM of Fractions 964/24,142/7438 is 34222

2 964, 142
482, 71

∴ So the LCM of the given numbers is 2 x 482 x 71 = 68444

Least Common Multiple of 964,142 with GCF Formula

Least Common Multiple of 964,142 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 964,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(964,142) = 2

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

GCF(964,142) x common factors =2 x 1 = 2

LCM(964,142) = ( 964 × 142 ) / 2

LCM(964,142) = 136888 / 2

LCM(964,142) = 68444


Lets's calculate GCF of 24,7438

2 24, 7438
12, 3719

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68444/2

Therefore the LCM of Fractions 964/24,142/7438 is 34222

Greatest Common Factor of 24,7438 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,7438 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 7438

List of positive integer factors of 7438 that divides 7438 without a remainder.

1,2,3719,7438

Greatest Common Factor

We found the factors 24,7438 . The biggest common factor number is the GCF number.
So the greatest common factor 24,7438 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 964/24, 142/7438

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 964/24, 142/7438?

Answer: LCM of Numerators as per given numbers 964/24, 142/7438 is

LCM of Numerators i.e. for 964,142 is 68444

GCF of denominators i.e. for 24,7438 is 2.

Thus, LCM of Fractions is 34222.Finally, LCM of Fractions for 964/24, 142/7438 is 34222.