Least Common Multiple of 942/35, 819/90, 234/435

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 942/35, 819/90, 234/435 quickly i.e. 257166/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 942/35, 819/90, 234/435 is 257166/5.

LCM(942/35, 819/90, 234/435) = 257166/5

LCM of 942/35, 819/90, 234/435

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 942/35,819/90,234/435

Given numbers are 942/35,819/90,234/435

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 942,819,234

Least Common Multiple of Numerators i.e. LCM of 942,819,234 is 257166.

GCF of Denominators means GCF of 35,90,435 as per the given fractions.

GCF of 35,90,435 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 942,819,234

LCM of Fractions 942/35,819/90,234/435 is 257166/5

2 942, 819, 234
3 471, 819, 117
3 157, 273, 39
13 157, 91, 13
157, 7, 1

∴ So the LCM of the given numbers is 2 x 3 x 3 x 13 x 157 x 7 x 1 = 257166

Least Common Multiple of 942,819,234 with GCF Formula

Least Common Multiple of 942,819,234 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 942,819,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(942,819,234) = 3

common factors(in case of two or more numbers have common factors) = 234

GCF(942,819,234) x common factors =3 x 234 = 702

LCM(942,819,234) = ( 942 × 819 × 234 ) / 702

LCM(942,819,234) = 180530532 / 702

LCM(942,819,234) = 257166


Lets's calculate GCF of 35,90,435

5 35, 90, 435
7, 18, 87

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 257166/5

Therefore the LCM of Fractions 942/35,819/90,234/435 is 257166/5

Greatest Common Factor of 35,90,435 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,90,435 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 435

List of positive integer factors of 435 that divides 435 without a remainder.

1,3,5,15,29,87,145,435

Greatest Common Factor

We found the factors 35,90,435 . The biggest common factor number is the GCF number.
So the greatest common factor 35,90,435 is 5.


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 942/35, 819/90, 234/435

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 942/35, 819/90, 234/435?

Answer: LCM of Numerators as per given numbers 942/35, 819/90, 234/435 is

LCM of Numerators i.e. for 942,819,234 is 257166

GCF of denominators i.e. for 35,90,435 is 5.

Thus, LCM of Fractions is 257166/5.Finally, LCM of Fractions for 942/35, 819/90, 234/435 is 257166/5.