Least Common Multiple of 270/93, 274/12, 894/252

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 270/93, 274/12, 894/252 quickly i.e. 1837170 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 270/93, 274/12, 894/252 is 1837170.

LCM(270/93, 274/12, 894/252) = 1837170

LCM of 270/93, 274/12, 894/252

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 270/93,274/12,894/252

Given numbers are 270/93,274/12,894/252

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 270,274,894

Least Common Multiple of Numerators i.e. LCM of 270,274,894 is 5511510.

GCF of Denominators means GCF of 93,12,252 as per the given fractions.

GCF of 93,12,252 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 270,274,894

LCM of Fractions 270/93,274/12,894/252 is 1837170

2 270, 274, 894
3 135, 137, 447
45, 137, 149

∴ So the LCM of the given numbers is 2 x 3 x 45 x 137 x 149 = 5511510

Least Common Multiple of 270,274,894 with GCF Formula

Least Common Multiple of 270,274,894 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 270,274,894 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(270,274,894) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(270,274,894) x common factors =2 x 6 = 12

LCM(270,274,894) = ( 270 × 274 × 894 ) / 12

LCM(270,274,894) = 66138120 / 12

LCM(270,274,894) = 5511510


Lets's calculate GCF of 93,12,252

3 93, 12, 252
31, 4, 84

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5511510/3

Therefore the LCM of Fractions 270/93,274/12,894/252 is 1837170

Greatest Common Factor of 93,12,252 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,12,252 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Greatest Common Factor

We found the factors 93,12,252 . The biggest common factor number is the GCF number.
So the greatest common factor 93,12,252 is 3.


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 270/93, 274/12, 894/252

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 270/93, 274/12, 894/252?

Answer: LCM of Numerators as per given numbers 270/93, 274/12, 894/252 is

LCM of Numerators i.e. for 270,274,894 is 5511510

GCF of denominators i.e. for 93,12,252 is 3.

Thus, LCM of Fractions is 1837170.Finally, LCM of Fractions for 270/93, 274/12, 894/252 is 1837170.