Least Common Multiple of 35/94, 199/30, 505/242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/94, 199/30, 505/242 quickly i.e. 703465/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/94, 199/30, 505/242 is 703465/2.

LCM(35/94, 199/30, 505/242) = 703465/2

LCM of 35/94, 199/30, 505/242

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 35/94,199/30,505/242

Given numbers are 35/94,199/30,505/242

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 35,199,505

Least Common Multiple of Numerators i.e. LCM of 35,199,505 is 703465.

GCF of Denominators means GCF of 94,30,242 as per the given fractions.

GCF of 94,30,242 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,199,505

LCM of Fractions 35/94,199/30,505/242 is 703465/2

5 35, 199, 505
7, 199, 101

∴ So the LCM of the given numbers is 5 x 7 x 199 x 101 = 703465

Least Common Multiple of 35,199,505 with GCF Formula

Least Common Multiple of 35,199,505 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 35,199,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,199,505) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(35,199,505) x common factors =1 x 5 = 5

LCM(35,199,505) = ( 35 × 199 × 505 ) / 5

LCM(35,199,505) = 3517325 / 5

LCM(35,199,505) = 703465


Lets's calculate GCF of 94,30,242

2 94, 30, 242
47, 15, 121

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 703465/2

Therefore the LCM of Fractions 35/94,199/30,505/242 is 703465/2

Greatest Common Factor of 94,30,242 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,30,242 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1,2,11,22,121,242

Greatest Common Factor

We found the factors 94,30,242 . The biggest common factor number is the GCF number.
So the greatest common factor 94,30,242 is 2.


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 35/94, 199/30, 505/242

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 35/94, 199/30, 505/242?

Answer: LCM of Numerators as per given numbers 35/94, 199/30, 505/242 is

LCM of Numerators i.e. for 35,199,505 is 703465

GCF of denominators i.e. for 94,30,242 is 2.

Thus, LCM of Fractions is 703465/2.Finally, LCM of Fractions for 35/94, 199/30, 505/242 is 703465/2.