Least Common Multiple of 896/67, 323/9980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 896/67, 323/9980 quickly i.e. 289408 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 896/67, 323/9980 is 289408.

LCM(896/67, 323/9980) = 289408

LCM of 896/67, 323/9980

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 896/67,323/9980

Given numbers are 896/67,323/9980

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 896,323

Least Common Multiple of Numerators i.e. LCM of 896,323 is 289408.

GCF of Denominators means GCF of 67,9980 as per the given fractions.

GCF of 67,9980 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 896,323

LCM of Fractions 896/67,323/9980 is 289408

Given numbers has no common factors except 1. So, there LCM is their product i.e 289408

Least Common Multiple of 896,323 with GCF Formula

Least Common Multiple of 896,323 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 896,323 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(896,323) = 1

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

GCF(896,323) x common factors =1 x 1 = 1

LCM(896,323) = ( 896 × 323 ) / 1

LCM(896,323) = 289408 / 1

LCM(896,323) = 289408


Lets's calculate GCF of 67,9980

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 289408/1

Therefore the LCM of Fractions 896/67,323/9980 is 289408

Greatest Common Factor of 67,9980 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,9980 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 9980

List of positive integer factors of 9980 that divides 9980 without a remainder.

1,2,4,5,10,20,499,998,1996,2495,4990,9980

Greatest Common Factor

We found the factors 67,9980 . The biggest common factor number is the GCF number.
So the greatest common factor 67,9980 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 896/67, 323/9980

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 896/67, 323/9980?

Answer: LCM of Numerators as per given numbers 896/67, 323/9980 is

LCM of Numerators i.e. for 896,323 is 289408

GCF of denominators i.e. for 67,9980 is 1.

Thus, LCM of Fractions is 289408.Finally, LCM of Fractions for 896/67, 323/9980 is 289408.