Least Common Multiple of 46/49, 994/68, 250/468

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/49, 994/68, 250/468 quickly i.e. 2857750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/49, 994/68, 250/468 is 2857750.

LCM(46/49, 994/68, 250/468) = 2857750

LCM of 46/49, 994/68, 250/468

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 46/49,994/68,250/468

Given numbers are 46/49,994/68,250/468

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 46,994,250

Least Common Multiple of Numerators i.e. LCM of 46,994,250 is 2857750.

GCF of Denominators means GCF of 49,68,468 as per the given fractions.

GCF of 49,68,468 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,994,250

LCM of Fractions 46/49,994/68,250/468 is 2857750

2 46, 994, 250
23, 497, 125

∴ So the LCM of the given numbers is 2 x 23 x 497 x 125 = 2857750

Least Common Multiple of 46,994,250 with GCF Formula

Least Common Multiple of 46,994,250 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 46,994,250 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,994,250) = 2

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

GCF(46,994,250) x common factors =2 x 2 = 4

LCM(46,994,250) = ( 46 × 994 × 250 ) / 4

LCM(46,994,250) = 11431000 / 4

LCM(46,994,250) = 2857750


Lets's calculate GCF of 49,68,468

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2857750/1

Therefore the LCM of Fractions 46/49,994/68,250/468 is 2857750

Greatest Common Factor of 49,68,468 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,68,468 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 68

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

1,2,4,17,34,68

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Greatest Common Factor

We found the factors 49,68,468 . The biggest common factor number is the GCF number.
So the greatest common factor 49,68,468 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 46/49, 994/68, 250/468

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 46/49, 994/68, 250/468?

Answer: LCM of Numerators as per given numbers 46/49, 994/68, 250/468 is

LCM of Numerators i.e. for 46,994,250 is 2857750

GCF of denominators i.e. for 49,68,468 is 1.

Thus, LCM of Fractions is 2857750.Finally, LCM of Fractions for 46/49, 994/68, 250/468 is 2857750.