Least Common Multiple of 285/42, 532/67, 220/930

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 285/42, 532/67, 220/930 quickly i.e. 87780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 285/42, 532/67, 220/930 is 87780.

LCM(285/42, 532/67, 220/930) = 87780

LCM of 285/42, 532/67, 220/930

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 285/42,532/67,220/930

Given numbers are 285/42,532/67,220/930

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 285,532,220

Least Common Multiple of Numerators i.e. LCM of 285,532,220 is 87780.

GCF of Denominators means GCF of 42,67,930 as per the given fractions.

GCF of 42,67,930 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 285,532,220

LCM of Fractions 285/42,532/67,220/930 is 87780

2 285, 532, 220
2 285, 266, 110
5 285, 133, 55
19 57, 133, 11
3, 7, 11

∴ So the LCM of the given numbers is 2 x 2 x 5 x 19 x 3 x 7 x 11 = 87780

Least Common Multiple of 285,532,220 with GCF Formula

Least Common Multiple of 285,532,220 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 285,532,220 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(285,532,220) = 1

common factors(in case of two or more numbers have common factors) = 380

GCF(285,532,220) x common factors =1 x 380 = 380

LCM(285,532,220) = ( 285 × 532 × 220 ) / 380

LCM(285,532,220) = 33356400 / 380

LCM(285,532,220) = 87780


Lets's calculate GCF of 42,67,930

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 87780/1

Therefore the LCM of Fractions 285/42,532/67,220/930 is 87780

Greatest Common Factor of 42,67,930 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,67,930 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Greatest Common Factor

We found the factors 42,67,930 . The biggest common factor number is the GCF number.
So the greatest common factor 42,67,930 is 1.


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 285/42, 532/67, 220/930

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 285/42, 532/67, 220/930?

Answer: LCM of Numerators as per given numbers 285/42, 532/67, 220/930 is

LCM of Numerators i.e. for 285,532,220 is 87780

GCF of denominators i.e. for 42,67,930 is 1.

Thus, LCM of Fractions is 87780.Finally, LCM of Fractions for 285/42, 532/67, 220/930 is 87780.