Least Common Multiple of 278/982, 2702/708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 278/982, 2702/708 quickly i.e. 187789 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 278/982, 2702/708 is 187789.

LCM(278/982, 2702/708) = 187789

LCM of 278/982, 2702/708

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 278/982,2702/708

Given numbers are 278/982,2702/708

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 278,2702

Least Common Multiple of Numerators i.e. LCM of 278,2702 is 375578.

GCF of Denominators means GCF of 982,708 as per the given fractions.

GCF of 982,708 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 278,2702

LCM of Fractions 278/982,2702/708 is 187789

2 278, 2702
139, 1351

∴ So the LCM of the given numbers is 2 x 139 x 1351 = 375578

Least Common Multiple of 278,2702 with GCF Formula

Least Common Multiple of 278,2702 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 278,2702 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(278,2702) = 2

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

GCF(278,2702) x common factors =2 x 1 = 2

LCM(278,2702) = ( 278 × 2702 ) / 2

LCM(278,2702) = 751156 / 2

LCM(278,2702) = 375578


Lets's calculate GCF of 982,708

2 982, 708
491, 354

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 375578/2

Therefore the LCM of Fractions 278/982,2702/708 is 187789

Greatest Common Factor of 982,708 By Matching Biggest Common Factor Method

Greatest Common Factor of 982,708 By Matching Biggest Common Factor Method

Factors of 982

List of positive integer factors of 982 that divides 982 without a remainder.

1,2,491,982

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Greatest Common Factor

We found the factors 982,708 . The biggest common factor number is the GCF number.
So the greatest common factor 982,708 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 278/982, 2702/708

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 278/982, 2702/708?

Answer: LCM of Numerators as per given numbers 278/982, 2702/708 is

LCM of Numerators i.e. for 278,2702 is 375578

GCF of denominators i.e. for 982,708 is 2.

Thus, LCM of Fractions is 187789.Finally, LCM of Fractions for 278/982, 2702/708 is 187789.