Least Common Multiple of 169/854, 5200/897

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 169/854, 5200/897 quickly i.e. 67600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 169/854, 5200/897 is 67600.

LCM(169/854, 5200/897) = 67600

LCM of 169/854, 5200/897

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 169/854,5200/897

Given numbers are 169/854,5200/897

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 169,5200

Least Common Multiple of Numerators i.e. LCM of 169,5200 is 67600.

GCF of Denominators means GCF of 854,897 as per the given fractions.

GCF of 854,897 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 169,5200

LCM of Fractions 169/854,5200/897 is 67600

13 169, 5200
13, 400

∴ So the LCM of the given numbers is 13 x 13 x 400 = 67600

Least Common Multiple of 169,5200 with GCF Formula

Least Common Multiple of 169,5200 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 169,5200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(169,5200) = 13

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

GCF(169,5200) x common factors =13 x 1 = 13

LCM(169,5200) = ( 169 × 5200 ) / 13

LCM(169,5200) = 878800 / 13

LCM(169,5200) = 67600


Lets's calculate GCF of 854,897

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67600/1

Therefore the LCM of Fractions 169/854,5200/897 is 67600

Greatest Common Factor of 854,897 By Matching Biggest Common Factor Method

Greatest Common Factor of 854,897 By Matching Biggest Common Factor Method

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1,2,7,14,61,122,427,854

Factors of 897

List of positive integer factors of 897 that divides 897 without a remainder.

1,3,13,23,39,69,299,897

Greatest Common Factor

We found the factors 854,897 . The biggest common factor number is the GCF number.
So the greatest common factor 854,897 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 169/854, 5200/897

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 169/854, 5200/897?

Answer: LCM of Numerators as per given numbers 169/854, 5200/897 is

LCM of Numerators i.e. for 169,5200 is 67600

GCF of denominators i.e. for 854,897 is 1.

Thus, LCM of Fractions is 67600.Finally, LCM of Fractions for 169/854, 5200/897 is 67600.