Least Common Multiple of 895/98, 192/6894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 895/98, 192/6894 quickly i.e. 85920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 895/98, 192/6894 is 85920.

LCM(895/98, 192/6894) = 85920

LCM of 895/98, 192/6894

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 895/98,192/6894

Given numbers are 895/98,192/6894

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 895,192

Least Common Multiple of Numerators i.e. LCM of 895,192 is 171840.

GCF of Denominators means GCF of 98,6894 as per the given fractions.

GCF of 98,6894 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 895,192

LCM of Fractions 895/98,192/6894 is 85920

Given numbers has no common factors except 1. So, there LCM is their product i.e 171840

Least Common Multiple of 895,192 with GCF Formula

Least Common Multiple of 895,192 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 895,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(895,192) = 1

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

GCF(895,192) x common factors =1 x 1 = 1

LCM(895,192) = ( 895 × 192 ) / 1

LCM(895,192) = 171840 / 1

LCM(895,192) = 171840


Lets's calculate GCF of 98,6894

2 98, 6894
49, 3447

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 171840/2

Therefore the LCM of Fractions 895/98,192/6894 is 85920

Greatest Common Factor of 98,6894 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,6894 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 6894

List of positive integer factors of 6894 that divides 6894 without a remainder.

1,2,3,6,9,18,383,766,1149,2298,3447,6894

Greatest Common Factor

We found the factors 98,6894 . The biggest common factor number is the GCF number.
So the greatest common factor 98,6894 is 2.


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Frequently Asked Questions on Fractional LCM of 895/98, 192/6894

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 895/98, 192/6894?

Answer: LCM of Numerators as per given numbers 895/98, 192/6894 is

LCM of Numerators i.e. for 895,192 is 171840

GCF of denominators i.e. for 98,6894 is 2.

Thus, LCM of Fractions is 85920.Finally, LCM of Fractions for 895/98, 192/6894 is 85920.