Least Common Multiple of 746/735, 729/150, 690/114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 746/735, 729/150, 690/114 quickly i.e. 20846970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 746/735, 729/150, 690/114 is 20846970.

LCM(746/735, 729/150, 690/114) = 20846970

LCM of 746/735, 729/150, 690/114

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 746/735,729/150,690/114

Given numbers are 746/735,729/150,690/114

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 746,729,690

Least Common Multiple of Numerators i.e. LCM of 746,729,690 is 62540910.

GCF of Denominators means GCF of 735,150,114 as per the given fractions.

GCF of 735,150,114 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 746,729,690

LCM of Fractions 746/735,729/150,690/114 is 20846970

2 746, 729, 690
3 373, 729, 345
373, 243, 115

∴ So the LCM of the given numbers is 2 x 3 x 373 x 243 x 115 = 62540910

Least Common Multiple of 746,729,690 with GCF Formula

Least Common Multiple of 746,729,690 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 746,729,690 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(746,729,690) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(746,729,690) x common factors =1 x 6 = 6

LCM(746,729,690) = ( 746 × 729 × 690 ) / 6

LCM(746,729,690) = 375245460 / 6

LCM(746,729,690) = 62540910


Lets's calculate GCF of 735,150,114

3 735, 150, 114
245, 50, 38

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62540910/3

Therefore the LCM of Fractions 746/735,729/150,690/114 is 20846970

Greatest Common Factor of 735,150,114 By Matching Biggest Common Factor Method

Greatest Common Factor of 735,150,114 By Matching Biggest Common Factor Method

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 150

List of positive integer factors of 150 that divides 150 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,150

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Greatest Common Factor

We found the factors 735,150,114 . The biggest common factor number is the GCF number.
So the greatest common factor 735,150,114 is 3.


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 746/735, 729/150, 690/114

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 746/735, 729/150, 690/114?

Answer: LCM of Numerators as per given numbers 746/735, 729/150, 690/114 is

LCM of Numerators i.e. for 746,729,690 is 62540910

GCF of denominators i.e. for 735,150,114 is 3.

Thus, LCM of Fractions is 20846970.Finally, LCM of Fractions for 746/735, 729/150, 690/114 is 20846970.