Least Common Multiple of 448/830, 278/468

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 448/830, 278/468 quickly i.e. 31136 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 448/830, 278/468 is 31136.

LCM(448/830, 278/468) = 31136

LCM of 448/830, 278/468

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 448/830,278/468

Given numbers are 448/830,278/468

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 448,278

Least Common Multiple of Numerators i.e. LCM of 448,278 is 62272.

GCF of Denominators means GCF of 830,468 as per the given fractions.

GCF of 830,468 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 448,278

LCM of Fractions 448/830,278/468 is 31136

2 448, 278
224, 139

∴ So the LCM of the given numbers is 2 x 224 x 139 = 62272

Least Common Multiple of 448,278 with GCF Formula

Least Common Multiple of 448,278 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 448,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(448,278) = 2

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

GCF(448,278) x common factors =2 x 1 = 2

LCM(448,278) = ( 448 × 278 ) / 2

LCM(448,278) = 124544 / 2

LCM(448,278) = 62272


Lets's calculate GCF of 830,468

2 830, 468
415, 234

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62272/2

Therefore the LCM of Fractions 448/830,278/468 is 31136

Greatest Common Factor of 830,468 By Matching Biggest Common Factor Method

Greatest Common Factor of 830,468 By Matching Biggest Common Factor Method

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Greatest Common Factor

We found the factors 830,468 . The biggest common factor number is the GCF number.
So the greatest common factor 830,468 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 448/830, 278/468

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 448/830, 278/468?

Answer: LCM of Numerators as per given numbers 448/830, 278/468 is

LCM of Numerators i.e. for 448,278 is 62272

GCF of denominators i.e. for 830,468 is 2.

Thus, LCM of Fractions is 31136.Finally, LCM of Fractions for 448/830, 278/468 is 31136.