Least Common Multiple of 126/278, 7021/448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 126/278, 7021/448 quickly i.e. 63189 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 126/278, 7021/448 is 63189.

LCM(126/278, 7021/448) = 63189

LCM of 126/278, 7021/448

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 126/278,7021/448

Given numbers are 126/278,7021/448

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 126,7021

Least Common Multiple of Numerators i.e. LCM of 126,7021 is 126378.

GCF of Denominators means GCF of 278,448 as per the given fractions.

GCF of 278,448 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 126,7021

LCM of Fractions 126/278,7021/448 is 63189

7 126, 7021
18, 1003

∴ So the LCM of the given numbers is 7 x 18 x 1003 = 126378

Least Common Multiple of 126,7021 with GCF Formula

Least Common Multiple of 126,7021 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 126,7021 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(126,7021) = 7

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

GCF(126,7021) x common factors =7 x 1 = 7

LCM(126,7021) = ( 126 × 7021 ) / 7

LCM(126,7021) = 884646 / 7

LCM(126,7021) = 126378


Lets's calculate GCF of 278,448

2 278, 448
139, 224

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 126378/2

Therefore the LCM of Fractions 126/278,7021/448 is 63189

Greatest Common Factor of 278,448 By Matching Biggest Common Factor Method

Greatest Common Factor of 278,448 By Matching Biggest Common Factor Method

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1,2,139,278

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Greatest Common Factor

We found the factors 278,448 . The biggest common factor number is the GCF number.
So the greatest common factor 278,448 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 126/278, 7021/448

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 126/278, 7021/448?

Answer: LCM of Numerators as per given numbers 126/278, 7021/448 is

LCM of Numerators i.e. for 126,7021 is 126378

GCF of denominators i.e. for 278,448 is 2.

Thus, LCM of Fractions is 63189.Finally, LCM of Fractions for 126/278, 7021/448 is 63189.