Least Common Multiple of 82/980, 162/869, 420/528

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/980, 162/869, 420/528 quickly i.e. 464940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/980, 162/869, 420/528 is 464940.

LCM(82/980, 162/869, 420/528) = 464940

LCM of 82/980, 162/869, 420/528

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 82/980,162/869,420/528

Given numbers are 82/980,162/869,420/528

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 82,162,420

Least Common Multiple of Numerators i.e. LCM of 82,162,420 is 464940.

GCF of Denominators means GCF of 980,869,528 as per the given fractions.

GCF of 980,869,528 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,162,420

LCM of Fractions 82/980,162/869,420/528 is 464940

2 82, 162, 420
3 41, 81, 210
41, 27, 70

∴ So the LCM of the given numbers is 2 x 3 x 41 x 27 x 70 = 464940

Least Common Multiple of 82,162,420 with GCF Formula

Least Common Multiple of 82,162,420 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 82,162,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,162,420) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(82,162,420) x common factors =2 x 6 = 12

LCM(82,162,420) = ( 82 × 162 × 420 ) / 12

LCM(82,162,420) = 5579280 / 12

LCM(82,162,420) = 464940


Lets's calculate GCF of 980,869,528

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 464940/1

Therefore the LCM of Fractions 82/980,162/869,420/528 is 464940

Greatest Common Factor of 980,869,528 By Matching Biggest Common Factor Method

Greatest Common Factor of 980,869,528 By Matching Biggest Common Factor Method

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

Factors of 869

List of positive integer factors of 869 that divides 869 without a remainder.

1,11,79,869

Factors of 528

List of positive integer factors of 528 that divides 528 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528

Greatest Common Factor

We found the factors 980,869,528 . The biggest common factor number is the GCF number.
So the greatest common factor 980,869,528 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 82/980, 162/869, 420/528

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 82/980, 162/869, 420/528?

Answer: LCM of Numerators as per given numbers 82/980, 162/869, 420/528 is

LCM of Numerators i.e. for 82,162,420 is 464940

GCF of denominators i.e. for 980,869,528 is 1.

Thus, LCM of Fractions is 464940.Finally, LCM of Fractions for 82/980, 162/869, 420/528 is 464940.