Least Common Multiple of 46/56, 24/68, 40/71, 35/751

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/56, 24/68, 40/71, 35/751 quickly i.e. 19320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/56, 24/68, 40/71, 35/751 is 19320.

LCM(46/56, 24/68, 40/71, 35/751) = 19320

LCM of 46/56, 24/68, 40/71, 35/751

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 46/56,24/68,40/71,35/751

Given numbers are 46/56,24/68,40/71,35/751

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 46,24,40,35

Least Common Multiple of Numerators i.e. LCM of 46,24,40,35 is 19320.

GCF of Denominators means GCF of 56,68,71,751 as per the given fractions.

GCF of 56,68,71,751 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,24,40,35

LCM of Fractions 46/56,24/68,40/71,35/751 is 19320

2 46, 24, 40, 35
2 23, 12, 20, 35
2 23, 6, 10, 35
5 23, 3, 5, 35
23, 3, 1, 7

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 23 x 3 x 1 x 7 = 19320

Least Common Multiple of 46,24,40,35 with GCF Formula

Least Common Multiple of 46,24,40,35 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 46,24,40,35 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,24,40,35) = 1

common factors(in case of two or more numbers have common factors) = 80

GCF(46,24,40,35) x common factors =1 x 80 = 80

LCM(46,24,40,35) = ( 46 × 24 × 40 × 35 ) / 80

LCM(46,24,40,35) = 1545600 / 80

LCM(46,24,40,35) = 19320


Lets's calculate GCF of 56,68,71,751

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19320/1

Therefore the LCM of Fractions 46/56,24/68,40/71,35/751 is 19320

Greatest Common Factor of 56,68,71,751 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,68,71,751 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 751

List of positive integer factors of 751 that divides 751 without a remainder.

1,751

Greatest Common Factor

We found the factors 56,68,71,751 . The biggest common factor number is the GCF number.
So the greatest common factor 56,68,71,751 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 46/56, 24/68, 40/71, 35/751

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 46/56, 24/68, 40/71, 35/751?

Answer: LCM of Numerators as per given numbers 46/56, 24/68, 40/71, 35/751 is

LCM of Numerators i.e. for 46,24,40,35 is 19320

GCF of denominators i.e. for 56,68,71,751 is 1.

Thus, LCM of Fractions is 19320.Finally, LCM of Fractions for 46/56, 24/68, 40/71, 35/751 is 19320.