Least Common Multiple of 46/10, 90/300, 985/640

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/10, 90/300, 985/640 quickly i.e. 40779 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/10, 90/300, 985/640 is 40779.

LCM(46/10, 90/300, 985/640) = 40779

LCM of 46/10, 90/300, 985/640

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 46/10,90/300,985/640

Given numbers are 46/10,90/300,985/640

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 46,90,985

Least Common Multiple of Numerators i.e. LCM of 46,90,985 is 407790.

GCF of Denominators means GCF of 10,300,640 as per the given fractions.

GCF of 10,300,640 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,90,985

LCM of Fractions 46/10,90/300,985/640 is 40779

2 46, 90, 985
5 23, 45, 985
23, 9, 197

∴ So the LCM of the given numbers is 2 x 5 x 23 x 9 x 197 = 407790

Least Common Multiple of 46,90,985 with GCF Formula

Least Common Multiple of 46,90,985 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 46,90,985 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,90,985) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(46,90,985) x common factors =1 x 10 = 10

LCM(46,90,985) = ( 46 × 90 × 985 ) / 10

LCM(46,90,985) = 4077900 / 10

LCM(46,90,985) = 407790


Lets's calculate GCF of 10,300,640

2 10, 300, 640
5 5, 150, 320
1, 30, 64

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 407790/10

Therefore the LCM of Fractions 46/10,90/300,985/640 is 40779

Greatest Common Factor of 10,300,640 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,300,640 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Factors of 640

List of positive integer factors of 640 that divides 640 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640

Greatest Common Factor

We found the factors 10,300,640 . The biggest common factor number is the GCF number.
So the greatest common factor 10,300,640 is 10.


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 46/10, 90/300, 985/640

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 46/10, 90/300, 985/640?

Answer: LCM of Numerators as per given numbers 46/10, 90/300, 985/640 is

LCM of Numerators i.e. for 46,90,985 is 407790

GCF of denominators i.e. for 10,300,640 is 10.

Thus, LCM of Fractions is 40779.Finally, LCM of Fractions for 46/10, 90/300, 985/640 is 40779.