Least Common Multiple of 343/14, 983/24, 957/378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 343/14, 983/24, 957/378 quickly i.e. 322670733/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 343/14, 983/24, 957/378 is 322670733/2.

LCM(343/14, 983/24, 957/378) = 322670733/2

LCM of 343/14, 983/24, 957/378

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 343/14,983/24,957/378

Given numbers are 343/14,983/24,957/378

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 343,983,957

Least Common Multiple of Numerators i.e. LCM of 343,983,957 is 322670733.

GCF of Denominators means GCF of 14,24,378 as per the given fractions.

GCF of 14,24,378 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 343,983,957

LCM of Fractions 343/14,983/24,957/378 is 322670733/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 322670733

Least Common Multiple of 343,983,957 with GCF Formula

Least Common Multiple of 343,983,957 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 343,983,957 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(343,983,957) = 1

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

GCF(343,983,957) x common factors =1 x 1 = 1

LCM(343,983,957) = ( 343 × 983 × 957 ) / 1

LCM(343,983,957) = 322670733 / 1

LCM(343,983,957) = 322670733


Lets's calculate GCF of 14,24,378

2 14, 24, 378
7, 12, 189

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 322670733/2

Therefore the LCM of Fractions 343/14,983/24,957/378 is 322670733/2

Greatest Common Factor of 14,24,378 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,24,378 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

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 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Greatest Common Factor

We found the factors 14,24,378 . The biggest common factor number is the GCF number.
So the greatest common factor 14,24,378 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 343/14, 983/24, 957/378

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 343/14, 983/24, 957/378?

Answer: LCM of Numerators as per given numbers 343/14, 983/24, 957/378 is

LCM of Numerators i.e. for 343,983,957 is 322670733

GCF of denominators i.e. for 14,24,378 is 2.

Thus, LCM of Fractions is 322670733/2.Finally, LCM of Fractions for 343/14, 983/24, 957/378 is 322670733/2.