Least Common Multiple of 46/342, 946/32, 931/560

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/342, 946/32, 931/560 quickly i.e. 10128349 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/342, 946/32, 931/560 is 10128349.

LCM(46/342, 946/32, 931/560) = 10128349

LCM of 46/342, 946/32, 931/560

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 46/342,946/32,931/560

Given numbers are 46/342,946/32,931/560

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 46,946,931

Least Common Multiple of Numerators i.e. LCM of 46,946,931 is 20256698.

GCF of Denominators means GCF of 342,32,560 as per the given fractions.

GCF of 342,32,560 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,946,931

LCM of Fractions 46/342,946/32,931/560 is 10128349

2 46, 946, 931
23, 473, 931

∴ So the LCM of the given numbers is 2 x 23 x 473 x 931 = 20256698

Least Common Multiple of 46,946,931 with GCF Formula

Least Common Multiple of 46,946,931 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 46,946,931 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,946,931) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(46,946,931) x common factors =1 x 2 = 2

LCM(46,946,931) = ( 46 × 946 × 931 ) / 2

LCM(46,946,931) = 40513396 / 2

LCM(46,946,931) = 20256698


Lets's calculate GCF of 342,32,560

2 342, 32, 560
171, 16, 280

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20256698/2

Therefore the LCM of Fractions 46/342,946/32,931/560 is 10128349

Greatest Common Factor of 342,32,560 By Matching Biggest Common Factor Method

Greatest Common Factor of 342,32,560 By Matching Biggest Common Factor Method

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Greatest Common Factor

We found the factors 342,32,560 . The biggest common factor number is the GCF number.
So the greatest common factor 342,32,560 is 2.


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 46/342, 946/32, 931/560

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 46/342, 946/32, 931/560?

Answer: LCM of Numerators as per given numbers 46/342, 946/32, 931/560 is

LCM of Numerators i.e. for 46,946,931 is 20256698

GCF of denominators i.e. for 342,32,560 is 2.

Thus, LCM of Fractions is 10128349.Finally, LCM of Fractions for 46/342, 946/32, 931/560 is 10128349.