Least Common Multiple of 34/974, 4944/1092

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/974, 4944/1092 quickly i.e. 42024 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/974, 4944/1092 is 42024.

LCM(34/974, 4944/1092) = 42024

LCM of 34/974, 4944/1092

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 34/974,4944/1092

Given numbers are 34/974,4944/1092

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 34,4944

Least Common Multiple of Numerators i.e. LCM of 34,4944 is 84048.

GCF of Denominators means GCF of 974,1092 as per the given fractions.

GCF of 974,1092 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,4944

LCM of Fractions 34/974,4944/1092 is 42024

2 34, 4944
17, 2472

∴ So the LCM of the given numbers is 2 x 17 x 2472 = 84048

Least Common Multiple of 34,4944 with GCF Formula

Least Common Multiple of 34,4944 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 34,4944 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,4944) = 2

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

GCF(34,4944) x common factors =2 x 1 = 2

LCM(34,4944) = ( 34 × 4944 ) / 2

LCM(34,4944) = 168096 / 2

LCM(34,4944) = 84048


Lets's calculate GCF of 974,1092

2 974, 1092
487, 546

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 84048/2

Therefore the LCM of Fractions 34/974,4944/1092 is 42024

Greatest Common Factor of 974,1092 By Matching Biggest Common Factor Method

Greatest Common Factor of 974,1092 By Matching Biggest Common Factor Method

Factors of 974

List of positive integer factors of 974 that divides 974 without a remainder.

1,2,487,974

Factors of 1092

List of positive integer factors of 1092 that divides 1092 without a remainder.

1,2,3,4,6,7,12,13,14,21,26,28,39,42,52,78,84,91,156,182,273,364,546,1092

Greatest Common Factor

We found the factors 974,1092 . The biggest common factor number is the GCF number.
So the greatest common factor 974,1092 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 34/974, 4944/1092

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 34/974, 4944/1092?

Answer: LCM of Numerators as per given numbers 34/974, 4944/1092 is

LCM of Numerators i.e. for 34,4944 is 84048

GCF of denominators i.e. for 974,1092 is 2.

Thus, LCM of Fractions is 42024.Finally, LCM of Fractions for 34/974, 4944/1092 is 42024.