Least Common Multiple of 894/685, 478/169, 832/499

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 894/685, 478/169, 832/499 quickly i.e. 88885056 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 894/685, 478/169, 832/499 is 88885056.

LCM(894/685, 478/169, 832/499) = 88885056

LCM of 894/685, 478/169, 832/499

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 894/685,478/169,832/499

Given numbers are 894/685,478/169,832/499

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 894,478,832

Least Common Multiple of Numerators i.e. LCM of 894,478,832 is 88885056.

GCF of Denominators means GCF of 685,169,499 as per the given fractions.

GCF of 685,169,499 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 894,478,832

LCM of Fractions 894/685,478/169,832/499 is 88885056

2 894, 478, 832
447, 239, 416

∴ So the LCM of the given numbers is 2 x 447 x 239 x 416 = 88885056

Least Common Multiple of 894,478,832 with GCF Formula

Least Common Multiple of 894,478,832 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 894,478,832 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(894,478,832) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(894,478,832) x common factors =2 x 2 = 4

LCM(894,478,832) = ( 894 × 478 × 832 ) / 4

LCM(894,478,832) = 355540224 / 4

LCM(894,478,832) = 88885056


Lets's calculate GCF of 685,169,499

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 88885056/1

Therefore the LCM of Fractions 894/685,478/169,832/499 is 88885056

Greatest Common Factor of 685,169,499 By Matching Biggest Common Factor Method

Greatest Common Factor of 685,169,499 By Matching Biggest Common Factor Method

Factors of 685

List of positive integer factors of 685 that divides 685 without a remainder.

1,5,137,685

Factors of 169

List of positive integer factors of 169 that divides 169 without a remainder.

1,13,169

Factors of 499

List of positive integer factors of 499 that divides 499 without a remainder.

1,499

Greatest Common Factor

We found the factors 685,169,499 . The biggest common factor number is the GCF number.
So the greatest common factor 685,169,499 is 1.


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Frequently Asked Questions on Fractional LCM of 894/685, 478/169, 832/499

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 894/685, 478/169, 832/499?

Answer: LCM of Numerators as per given numbers 894/685, 478/169, 832/499 is

LCM of Numerators i.e. for 894,478,832 is 88885056

GCF of denominators i.e. for 685,169,499 is 1.

Thus, LCM of Fractions is 88885056.Finally, LCM of Fractions for 894/685, 478/169, 832/499 is 88885056.