Least Common Multiple of 436/755, 1715/769

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 436/755, 1715/769 quickly i.e. 747740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 436/755, 1715/769 is 747740.

LCM(436/755, 1715/769) = 747740

LCM of 436/755, 1715/769

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 436/755,1715/769

Given numbers are 436/755,1715/769

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 436,1715

Least Common Multiple of Numerators i.e. LCM of 436,1715 is 747740.

GCF of Denominators means GCF of 755,769 as per the given fractions.

GCF of 755,769 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 436,1715

LCM of Fractions 436/755,1715/769 is 747740

Given numbers has no common factors except 1. So, there LCM is their product i.e 747740

Least Common Multiple of 436,1715 with GCF Formula

Least Common Multiple of 436,1715 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 436,1715 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(436,1715) = 1

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

GCF(436,1715) x common factors =1 x 1 = 1

LCM(436,1715) = ( 436 × 1715 ) / 1

LCM(436,1715) = 747740 / 1

LCM(436,1715) = 747740


Lets's calculate GCF of 755,769

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 747740/1

Therefore the LCM of Fractions 436/755,1715/769 is 747740

Greatest Common Factor of 755,769 By Matching Biggest Common Factor Method

Greatest Common Factor of 755,769 By Matching Biggest Common Factor Method

Factors of 755

List of positive integer factors of 755 that divides 755 without a remainder.

1,5,151,755

Factors of 769

List of positive integer factors of 769 that divides 769 without a remainder.

1,769

Greatest Common Factor

We found the factors 755,769 . The biggest common factor number is the GCF number.
So the greatest common factor 755,769 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 436/755, 1715/769

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 436/755, 1715/769?

Answer: LCM of Numerators as per given numbers 436/755, 1715/769 is

LCM of Numerators i.e. for 436,1715 is 747740

GCF of denominators i.e. for 755,769 is 1.

Thus, LCM of Fractions is 747740.Finally, LCM of Fractions for 436/755, 1715/769 is 747740.