Least Common Multiple of 269/54, 660/53, 970/980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 269/54, 660/53, 970/980 quickly i.e. 17221380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 269/54, 660/53, 970/980 is 17221380.

LCM(269/54, 660/53, 970/980) = 17221380

LCM of 269/54, 660/53, 970/980

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 269/54,660/53,970/980

Given numbers are 269/54,660/53,970/980

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 269,660,970

Least Common Multiple of Numerators i.e. LCM of 269,660,970 is 17221380.

GCF of Denominators means GCF of 54,53,980 as per the given fractions.

GCF of 54,53,980 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 269,660,970

LCM of Fractions 269/54,660/53,970/980 is 17221380

2 269, 660, 970
5 269, 330, 485
269, 66, 97

∴ So the LCM of the given numbers is 2 x 5 x 269 x 66 x 97 = 17221380

Least Common Multiple of 269,660,970 with GCF Formula

Least Common Multiple of 269,660,970 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 269,660,970 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(269,660,970) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(269,660,970) x common factors =1 x 10 = 10

LCM(269,660,970) = ( 269 × 660 × 970 ) / 10

LCM(269,660,970) = 172213800 / 10

LCM(269,660,970) = 17221380


Lets's calculate GCF of 54,53,980

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17221380/1

Therefore the LCM of Fractions 269/54,660/53,970/980 is 17221380

Greatest Common Factor of 54,53,980 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,53,980 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Greatest Common Factor

We found the factors 54,53,980 . The biggest common factor number is the GCF number.
So the greatest common factor 54,53,980 is 1.


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 269/54, 660/53, 970/980

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 269/54, 660/53, 970/980?

Answer: LCM of Numerators as per given numbers 269/54, 660/53, 970/980 is

LCM of Numerators i.e. for 269,660,970 is 17221380

GCF of denominators i.e. for 54,53,980 is 1.

Thus, LCM of Fractions is 17221380.Finally, LCM of Fractions for 269/54, 660/53, 970/980 is 17221380.