Least Common Multiple of 738/15, 1529/798

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 738/15, 1529/798 quickly i.e. 376134 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 738/15, 1529/798 is 376134.

LCM(738/15, 1529/798) = 376134

LCM of 738/15, 1529/798

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 738/15,1529/798

Given numbers are 738/15,1529/798

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 738,1529

Least Common Multiple of Numerators i.e. LCM of 738,1529 is 1128402.

GCF of Denominators means GCF of 15,798 as per the given fractions.

GCF of 15,798 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 738,1529

LCM of Fractions 738/15,1529/798 is 376134

Given numbers has no common factors except 1. So, there LCM is their product i.e 1128402

Least Common Multiple of 738,1529 with GCF Formula

Least Common Multiple of 738,1529 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 738,1529 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(738,1529) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(738,1529) x common factors =1 x 1 = 1

LCM(738,1529) = ( 738 × 1529 ) / 1

LCM(738,1529) = 1128402 / 1

LCM(738,1529) = 1128402


Lets's calculate GCF of 15,798

3 15, 798
5, 266

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1128402/3

Therefore the LCM of Fractions 738/15,1529/798 is 376134

Greatest Common Factor of 15,798 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,798 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Greatest Common Factor

We found the factors 15,798 . The biggest common factor number is the GCF number.
So the greatest common factor 15,798 is 3.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 738/15, 1529/798

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 738/15, 1529/798?

Answer: LCM of Numerators as per given numbers 738/15, 1529/798 is

LCM of Numerators i.e. for 738,1529 is 1128402

GCF of denominators i.e. for 15,798 is 3.

Thus, LCM of Fractions is 376134.Finally, LCM of Fractions for 738/15, 1529/798 is 376134.