Least Common Multiple of 980/82, 850/85, 150/239

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 980/82, 850/85, 150/239 quickly i.e. 249900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 980/82, 850/85, 150/239 is 249900.

LCM(980/82, 850/85, 150/239) = 249900

LCM of 980/82, 850/85, 150/239

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 980/82,850/85,150/239

Given numbers are 980/82,850/85,150/239

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 980,850,150

Least Common Multiple of Numerators i.e. LCM of 980,850,150 is 249900.

GCF of Denominators means GCF of 82,85,239 as per the given fractions.

GCF of 82,85,239 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 980,850,150

LCM of Fractions 980/82,850/85,150/239 is 249900

2 980, 850, 150
5 490, 425, 75
5 98, 85, 15
98, 17, 3

∴ So the LCM of the given numbers is 2 x 5 x 5 x 98 x 17 x 3 = 249900

Least Common Multiple of 980,850,150 with GCF Formula

Least Common Multiple of 980,850,150 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 980,850,150 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(980,850,150) = 10

common factors(in case of two or more numbers have common factors) = 50

GCF(980,850,150) x common factors =10 x 50 = 500

LCM(980,850,150) = ( 980 × 850 × 150 ) / 500

LCM(980,850,150) = 124950000 / 500

LCM(980,850,150) = 249900


Lets's calculate GCF of 82,85,239

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 249900/1

Therefore the LCM of Fractions 980/82,850/85,150/239 is 249900

Greatest Common Factor of 82,85,239 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,85,239 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 239

List of positive integer factors of 239 that divides 239 without a remainder.

1,239

Greatest Common Factor

We found the factors 82,85,239 . The biggest common factor number is the GCF number.
So the greatest common factor 82,85,239 is 1.


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Frequently Asked Questions on Fractional LCM of 980/82, 850/85, 150/239

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 980/82, 850/85, 150/239?

Answer: LCM of Numerators as per given numbers 980/82, 850/85, 150/239 is

LCM of Numerators i.e. for 980,850,150 is 249900

GCF of denominators i.e. for 82,85,239 is 1.

Thus, LCM of Fractions is 249900.Finally, LCM of Fractions for 980/82, 850/85, 150/239 is 249900.