Least Common Multiple of 946/270, 704/837

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 946/270, 704/837 quickly i.e. 30272/27 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 946/270, 704/837 is 30272/27.

LCM(946/270, 704/837) = 30272/27

LCM of 946/270, 704/837

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 946/270,704/837

Given numbers are 946/270,704/837

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 946,704

Least Common Multiple of Numerators i.e. LCM of 946,704 is 30272.

GCF of Denominators means GCF of 270,837 as per the given fractions.

GCF of 270,837 is 27 as it is the largest common factor for these numbers.

Lets's calculate LCM of 946,704

LCM of Fractions 946/270,704/837 is 30272/27

2 946, 704
11 473, 352
43, 32

∴ So the LCM of the given numbers is 2 x 11 x 43 x 32 = 30272

Least Common Multiple of 946,704 with GCF Formula

Least Common Multiple of 946,704 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 946,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(946,704) = 22

common factors(in case of two or more numbers have common factors) = 1

GCF(946,704) x common factors =22 x 1 = 22

LCM(946,704) = ( 946 × 704 ) / 22

LCM(946,704) = 665984 / 22

LCM(946,704) = 30272


Lets's calculate GCF of 270,837

3 270, 837
3 90, 279
3 30, 93
10, 31

∴ So the GCF of the given numbers is 3 x 3 x 3 = 27

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30272/27

Therefore the LCM of Fractions 946/270,704/837 is 30272/27

Greatest Common Factor of 270,837 By Matching Biggest Common Factor Method

Greatest Common Factor of 270,837 By Matching Biggest Common Factor Method

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Factors of 837

List of positive integer factors of 837 that divides 837 without a remainder.

1,3,9,27,31,93,279,837

Greatest Common Factor

We found the factors 270,837 . The biggest common factor number is the GCF number.
So the greatest common factor 270,837 is 27.


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 946/270, 704/837

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 946/270, 704/837?

Answer: LCM of Numerators as per given numbers 946/270, 704/837 is

LCM of Numerators i.e. for 946,704 is 30272

GCF of denominators i.e. for 270,837 is 27.

Thus, LCM of Fractions is 30272/27.Finally, LCM of Fractions for 946/270, 704/837 is 30272/27.