Least Common Multiple of 169/158, 200/488

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 169/158, 200/488 quickly i.e. 16900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 169/158, 200/488 is 16900.

LCM(169/158, 200/488) = 16900

LCM of 169/158, 200/488

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 169/158,200/488

Given numbers are 169/158,200/488

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 169,200

Least Common Multiple of Numerators i.e. LCM of 169,200 is 33800.

GCF of Denominators means GCF of 158,488 as per the given fractions.

GCF of 158,488 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 169,200

LCM of Fractions 169/158,200/488 is 16900

Given numbers has no common factors except 1. So, there LCM is their product i.e 33800

Least Common Multiple of 169,200 with GCF Formula

Least Common Multiple of 169,200 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 169,200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(169,200) = 1

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

GCF(169,200) x common factors =1 x 1 = 1

LCM(169,200) = ( 169 × 200 ) / 1

LCM(169,200) = 33800 / 1

LCM(169,200) = 33800


Lets's calculate GCF of 158,488

2 158, 488
79, 244

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33800/2

Therefore the LCM of Fractions 169/158,200/488 is 16900

Greatest Common Factor of 158,488 By Matching Biggest Common Factor Method

Greatest Common Factor of 158,488 By Matching Biggest Common Factor Method

Factors of 158

List of positive integer factors of 158 that divides 158 without a remainder.

1,2,79,158

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Greatest Common Factor

We found the factors 158,488 . The biggest common factor number is the GCF number.
So the greatest common factor 158,488 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 169/158, 200/488

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 169/158, 200/488?

Answer: LCM of Numerators as per given numbers 169/158, 200/488 is

LCM of Numerators i.e. for 169,200 is 33800

GCF of denominators i.e. for 158,488 is 2.

Thus, LCM of Fractions is 16900.Finally, LCM of Fractions for 169/158, 200/488 is 16900.