Least Common Multiple of 25/490, 9870/9708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 25/490, 9870/9708 quickly i.e. 24675 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 25/490, 9870/9708 is 24675.

LCM(25/490, 9870/9708) = 24675

LCM of 25/490, 9870/9708

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 25/490,9870/9708

Given numbers are 25/490,9870/9708

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 25,9870

Least Common Multiple of Numerators i.e. LCM of 25,9870 is 49350.

GCF of Denominators means GCF of 490,9708 as per the given fractions.

GCF of 490,9708 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,9870

LCM of Fractions 25/490,9870/9708 is 24675

5 25, 9870
5, 1974

∴ So the LCM of the given numbers is 5 x 5 x 1974 = 49350

Least Common Multiple of 25,9870 with GCF Formula

Least Common Multiple of 25,9870 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 25,9870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,9870) = 5

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

GCF(25,9870) x common factors =5 x 1 = 5

LCM(25,9870) = ( 25 × 9870 ) / 5

LCM(25,9870) = 246750 / 5

LCM(25,9870) = 49350


Lets's calculate GCF of 490,9708

2 490, 9708
245, 4854

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49350/2

Therefore the LCM of Fractions 25/490,9870/9708 is 24675

Greatest Common Factor of 490,9708 By Matching Biggest Common Factor Method

Greatest Common Factor of 490,9708 By Matching Biggest Common Factor Method

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Factors of 9708

List of positive integer factors of 9708 that divides 9708 without a remainder.

1,2,3,4,6,12,809,1618,2427,3236,4854,9708

Greatest Common Factor

We found the factors 490,9708 . The biggest common factor number is the GCF number.
So the greatest common factor 490,9708 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 25/490, 9870/9708

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 25/490, 9870/9708?

Answer: LCM of Numerators as per given numbers 25/490, 9870/9708 is

LCM of Numerators i.e. for 25,9870 is 49350

GCF of denominators i.e. for 490,9708 is 2.

Thus, LCM of Fractions is 24675.Finally, LCM of Fractions for 25/490, 9870/9708 is 24675.