Least Common Multiple of 46/634, 688/674, 716/912

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/634, 688/674, 716/912 quickly i.e. 1416248 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/634, 688/674, 716/912 is 1416248.

LCM(46/634, 688/674, 716/912) = 1416248

LCM of 46/634, 688/674, 716/912

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 46/634,688/674,716/912

Given numbers are 46/634,688/674,716/912

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 46,688,716

Least Common Multiple of Numerators i.e. LCM of 46,688,716 is 2832496.

GCF of Denominators means GCF of 634,674,912 as per the given fractions.

GCF of 634,674,912 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,688,716

LCM of Fractions 46/634,688/674,716/912 is 1416248

2 46, 688, 716
2 23, 344, 358
23, 172, 179

∴ So the LCM of the given numbers is 2 x 2 x 23 x 172 x 179 = 2832496

Least Common Multiple of 46,688,716 with GCF Formula

Least Common Multiple of 46,688,716 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 46,688,716 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,688,716) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(46,688,716) x common factors =2 x 4 = 8

LCM(46,688,716) = ( 46 × 688 × 716 ) / 8

LCM(46,688,716) = 22659968 / 8

LCM(46,688,716) = 2832496


Lets's calculate GCF of 634,674,912

2 634, 674, 912
317, 337, 456

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2832496/2

Therefore the LCM of Fractions 46/634,688/674,716/912 is 1416248

Greatest Common Factor of 634,674,912 By Matching Biggest Common Factor Method

Greatest Common Factor of 634,674,912 By Matching Biggest Common Factor Method

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1,2,317,634

Factors of 674

List of positive integer factors of 674 that divides 674 without a remainder.

1,2,337,674

Factors of 912

List of positive integer factors of 912 that divides 912 without a remainder.

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912

Greatest Common Factor

We found the factors 634,674,912 . The biggest common factor number is the GCF number.
So the greatest common factor 634,674,912 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 46/634, 688/674, 716/912

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 46/634, 688/674, 716/912?

Answer: LCM of Numerators as per given numbers 46/634, 688/674, 716/912 is

LCM of Numerators i.e. for 46,688,716 is 2832496

GCF of denominators i.e. for 634,674,912 is 2.

Thus, LCM of Fractions is 1416248.Finally, LCM of Fractions for 46/634, 688/674, 716/912 is 1416248.