Least Common Multiple of 43/96, 414/78, 974/837

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/96, 414/78, 974/837 quickly i.e. 2889858 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/96, 414/78, 974/837 is 2889858.

LCM(43/96, 414/78, 974/837) = 2889858

LCM of 43/96, 414/78, 974/837

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 43/96,414/78,974/837

Given numbers are 43/96,414/78,974/837

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 43,414,974

Least Common Multiple of Numerators i.e. LCM of 43,414,974 is 8669574.

GCF of Denominators means GCF of 96,78,837 as per the given fractions.

GCF of 96,78,837 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,414,974

LCM of Fractions 43/96,414/78,974/837 is 2889858

2 43, 414, 974
43, 207, 487

∴ So the LCM of the given numbers is 2 x 43 x 207 x 487 = 8669574

Least Common Multiple of 43,414,974 with GCF Formula

Least Common Multiple of 43,414,974 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 43,414,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,414,974) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(43,414,974) x common factors =1 x 2 = 2

LCM(43,414,974) = ( 43 × 414 × 974 ) / 2

LCM(43,414,974) = 17339148 / 2

LCM(43,414,974) = 8669574


Lets's calculate GCF of 96,78,837

3 96, 78, 837
32, 26, 279

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8669574/3

Therefore the LCM of Fractions 43/96,414/78,974/837 is 2889858

Greatest Common Factor of 96,78,837 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,78,837 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 837

List of positive integer factors of 837 that divides 837 without a remainder.

1,3,9,27,31,93,279,837

Greatest Common Factor

We found the factors 96,78,837 . The biggest common factor number is the GCF number.
So the greatest common factor 96,78,837 is 3.


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 43/96, 414/78, 974/837

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 43/96, 414/78, 974/837?

Answer: LCM of Numerators as per given numbers 43/96, 414/78, 974/837 is

LCM of Numerators i.e. for 43,414,974 is 8669574

GCF of denominators i.e. for 96,78,837 is 3.

Thus, LCM of Fractions is 2889858.Finally, LCM of Fractions for 43/96, 414/78, 974/837 is 2889858.