Least Common Multiple of 4992/914, 3492/222

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4992/914, 3492/222 quickly i.e. 726336 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4992/914, 3492/222 is 726336.

LCM(4992/914, 3492/222) = 726336

LCM of 4992/914, 3492/222

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 4992/914,3492/222

Given numbers are 4992/914,3492/222

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 4992,3492

Least Common Multiple of Numerators i.e. LCM of 4992,3492 is 1452672.

GCF of Denominators means GCF of 914,222 as per the given fractions.

GCF of 914,222 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4992,3492

LCM of Fractions 4992/914,3492/222 is 726336

2 4992, 3492
2 2496, 1746
3 1248, 873
416, 291

∴ So the LCM of the given numbers is 2 x 2 x 3 x 416 x 291 = 1452672

Least Common Multiple of 4992,3492 with GCF Formula

Least Common Multiple of 4992,3492 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 4992,3492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4992,3492) = 12

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

GCF(4992,3492) x common factors =12 x 1 = 12

LCM(4992,3492) = ( 4992 × 3492 ) / 12

LCM(4992,3492) = 17432064 / 12

LCM(4992,3492) = 1452672


Lets's calculate GCF of 914,222

2 914, 222
457, 111

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1452672/2

Therefore the LCM of Fractions 4992/914,3492/222 is 726336

Greatest Common Factor of 914,222 By Matching Biggest Common Factor Method

Greatest Common Factor of 914,222 By Matching Biggest Common Factor Method

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1,2,457,914

Factors of 222

List of positive integer factors of 222 that divides 222 without a remainder.

1,2,3,6,37,74,111,222

Greatest Common Factor

We found the factors 914,222 . The biggest common factor number is the GCF number.
So the greatest common factor 914,222 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 4992/914, 3492/222

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 4992/914, 3492/222?

Answer: LCM of Numerators as per given numbers 4992/914, 3492/222 is

LCM of Numerators i.e. for 4992,3492 is 1452672

GCF of denominators i.e. for 914,222 is 2.

Thus, LCM of Fractions is 726336.Finally, LCM of Fractions for 4992/914, 3492/222 is 726336.