Least Common Multiple of 46/69, 920/50, 480/891

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/69, 920/50, 480/891 quickly i.e. 11040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/69, 920/50, 480/891 is 11040.

LCM(46/69, 920/50, 480/891) = 11040

LCM of 46/69, 920/50, 480/891

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 46/69,920/50,480/891

Given numbers are 46/69,920/50,480/891

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 46,920,480

Least Common Multiple of Numerators i.e. LCM of 46,920,480 is 11040.

GCF of Denominators means GCF of 69,50,891 as per the given fractions.

GCF of 69,50,891 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,920,480

LCM of Fractions 46/69,920/50,480/891 is 11040

2 46, 920, 480
2 23, 460, 240
2 23, 230, 120
5 23, 115, 60
23 23, 23, 12
1, 1, 12

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 23 x 1 x 1 x 12 = 11040

Least Common Multiple of 46,920,480 with GCF Formula

Least Common Multiple of 46,920,480 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 46,920,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,920,480) = 2

common factors(in case of two or more numbers have common factors) = 920

GCF(46,920,480) x common factors =2 x 920 = 1840

LCM(46,920,480) = ( 46 × 920 × 480 ) / 1840

LCM(46,920,480) = 20313600 / 1840

LCM(46,920,480) = 11040


Lets's calculate GCF of 69,50,891

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11040/1

Therefore the LCM of Fractions 46/69,920/50,480/891 is 11040

Greatest Common Factor of 69,50,891 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,50,891 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 891

List of positive integer factors of 891 that divides 891 without a remainder.

1,3,9,11,27,33,81,99,297,891

Greatest Common Factor

We found the factors 69,50,891 . The biggest common factor number is the GCF number.
So the greatest common factor 69,50,891 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 46/69, 920/50, 480/891

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 46/69, 920/50, 480/891?

Answer: LCM of Numerators as per given numbers 46/69, 920/50, 480/891 is

LCM of Numerators i.e. for 46,920,480 is 11040

GCF of denominators i.e. for 69,50,891 is 1.

Thus, LCM of Fractions is 11040.Finally, LCM of Fractions for 46/69, 920/50, 480/891 is 11040.