Least Common Multiple of 454/66, 314/9120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 454/66, 314/9120 quickly i.e. 71278/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 454/66, 314/9120 is 71278/6.

LCM(454/66, 314/9120) = 71278/6

LCM of 454/66, 314/9120

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 454/66,314/9120

Given numbers are 454/66,314/9120

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 454,314

Least Common Multiple of Numerators i.e. LCM of 454,314 is 71278.

GCF of Denominators means GCF of 66,9120 as per the given fractions.

GCF of 66,9120 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 454,314

LCM of Fractions 454/66,314/9120 is 71278/6

2 454, 314
227, 157

∴ So the LCM of the given numbers is 2 x 227 x 157 = 71278

Least Common Multiple of 454,314 with GCF Formula

Least Common Multiple of 454,314 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 454,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(454,314) = 2

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

GCF(454,314) x common factors =2 x 1 = 2

LCM(454,314) = ( 454 × 314 ) / 2

LCM(454,314) = 142556 / 2

LCM(454,314) = 71278


Lets's calculate GCF of 66,9120

2 66, 9120
3 33, 4560
11, 1520

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71278/6

Therefore the LCM of Fractions 454/66,314/9120 is 71278/6

Greatest Common Factor of 66,9120 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,9120 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 9120

List of positive integer factors of 9120 that divides 9120 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,19,20,24,30,32,38,40,48,57,60,76,80,95,96,114,120,152,160,190,228,240,285,304,380,456,480,570,608,760,912,1140,1520,1824,2280,3040,4560,9120

Greatest Common Factor

We found the factors 66,9120 . The biggest common factor number is the GCF number.
So the greatest common factor 66,9120 is 6.


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 454/66, 314/9120

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 454/66, 314/9120?

Answer: LCM of Numerators as per given numbers 454/66, 314/9120 is

LCM of Numerators i.e. for 454,314 is 71278

GCF of denominators i.e. for 66,9120 is 6.

Thus, LCM of Fractions is 71278/6.Finally, LCM of Fractions for 454/66, 314/9120 is 71278/6.