Least Common Multiple of 53/140, 90/283, 945/234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/140, 90/283, 945/234 quickly i.e. 100170 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/140, 90/283, 945/234 is 100170.

LCM(53/140, 90/283, 945/234) = 100170

LCM of 53/140, 90/283, 945/234

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 53/140,90/283,945/234

Given numbers are 53/140,90/283,945/234

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 53,90,945

Least Common Multiple of Numerators i.e. LCM of 53,90,945 is 100170.

GCF of Denominators means GCF of 140,283,234 as per the given fractions.

GCF of 140,283,234 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,90,945

LCM of Fractions 53/140,90/283,945/234 is 100170

3 53, 90, 945
3 53, 30, 315
5 53, 10, 105
53, 2, 21

∴ So the LCM of the given numbers is 3 x 3 x 5 x 53 x 2 x 21 = 100170

Least Common Multiple of 53,90,945 with GCF Formula

Least Common Multiple of 53,90,945 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 53,90,945 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,90,945) = 1

common factors(in case of two or more numbers have common factors) = 45

GCF(53,90,945) x common factors =1 x 45 = 45

LCM(53,90,945) = ( 53 × 90 × 945 ) / 45

LCM(53,90,945) = 4507650 / 45

LCM(53,90,945) = 100170


Lets's calculate GCF of 140,283,234

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 100170/1

Therefore the LCM of Fractions 53/140,90/283,945/234 is 100170

Greatest Common Factor of 140,283,234 By Matching Biggest Common Factor Method

Greatest Common Factor of 140,283,234 By Matching Biggest Common Factor Method

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Factors of 283

List of positive integer factors of 283 that divides 283 without a remainder.

1,283

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,234

Greatest Common Factor

We found the factors 140,283,234 . The biggest common factor number is the GCF number.
So the greatest common factor 140,283,234 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 53/140, 90/283, 945/234

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 53/140, 90/283, 945/234?

Answer: LCM of Numerators as per given numbers 53/140, 90/283, 945/234 is

LCM of Numerators i.e. for 53,90,945 is 100170

GCF of denominators i.e. for 140,283,234 is 1.

Thus, LCM of Fractions is 100170.Finally, LCM of Fractions for 53/140, 90/283, 945/234 is 100170.