Least Common Multiple of 278/68, 1704/556

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 278/68, 1704/556 quickly i.e. 59214 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 278/68, 1704/556 is 59214.

LCM(278/68, 1704/556) = 59214

LCM of 278/68, 1704/556

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 278/68,1704/556

Given numbers are 278/68,1704/556

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 278,1704

Least Common Multiple of Numerators i.e. LCM of 278,1704 is 236856.

GCF of Denominators means GCF of 68,556 as per the given fractions.

GCF of 68,556 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 278,1704

LCM of Fractions 278/68,1704/556 is 59214

2 278, 1704
139, 852

∴ So the LCM of the given numbers is 2 x 139 x 852 = 236856

Least Common Multiple of 278,1704 with GCF Formula

Least Common Multiple of 278,1704 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 278,1704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(278,1704) = 2

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

GCF(278,1704) x common factors =2 x 1 = 2

LCM(278,1704) = ( 278 × 1704 ) / 2

LCM(278,1704) = 473712 / 2

LCM(278,1704) = 236856


Lets's calculate GCF of 68,556

2 68, 556
2 34, 278
17, 139

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 236856/4

Therefore the LCM of Fractions 278/68,1704/556 is 59214

Greatest Common Factor of 68,556 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,556 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 556

List of positive integer factors of 556 that divides 556 without a remainder.

1,2,4,139,278,556

Greatest Common Factor

We found the factors 68,556 . The biggest common factor number is the GCF number.
So the greatest common factor 68,556 is 4.


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 278/68, 1704/556

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 278/68, 1704/556?

Answer: LCM of Numerators as per given numbers 278/68, 1704/556 is

LCM of Numerators i.e. for 278,1704 is 236856

GCF of denominators i.e. for 68,556 is 4.

Thus, LCM of Fractions is 59214.Finally, LCM of Fractions for 278/68, 1704/556 is 59214.