Least Common Multiple of 150/170, 242/350

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 150/170, 242/350 quickly i.e. 1815 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 150/170, 242/350 is 1815.

LCM(150/170, 242/350) = 1815

LCM of 150/170, 242/350

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 150/170,242/350

Given numbers are 150/170,242/350

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 150,242

Least Common Multiple of Numerators i.e. LCM of 150,242 is 18150.

GCF of Denominators means GCF of 170,350 as per the given fractions.

GCF of 170,350 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 150,242

LCM of Fractions 150/170,242/350 is 1815

2 150, 242
75, 121

∴ So the LCM of the given numbers is 2 x 75 x 121 = 18150

Least Common Multiple of 150,242 with GCF Formula

Least Common Multiple of 150,242 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 150,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(150,242) = 2

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

GCF(150,242) x common factors =2 x 1 = 2

LCM(150,242) = ( 150 × 242 ) / 2

LCM(150,242) = 36300 / 2

LCM(150,242) = 18150


Lets's calculate GCF of 170,350

2 170, 350
5 85, 175
17, 35

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18150/10

Therefore the LCM of Fractions 150/170,242/350 is 1815

Greatest Common Factor of 170,350 By Matching Biggest Common Factor Method

Greatest Common Factor of 170,350 By Matching Biggest Common Factor Method

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Greatest Common Factor

We found the factors 170,350 . The biggest common factor number is the GCF number.
So the greatest common factor 170,350 is 10.


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 150/170, 242/350

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 150/170, 242/350?

Answer: LCM of Numerators as per given numbers 150/170, 242/350 is

LCM of Numerators i.e. for 150,242 is 18150

GCF of denominators i.e. for 170,350 is 10.

Thus, LCM of Fractions is 1815.Finally, LCM of Fractions for 150/170, 242/350 is 1815.