Least Common Multiple of 742/35, 783/6269

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 742/35, 783/6269 quickly i.e. 580986 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 742/35, 783/6269 is 580986.

LCM(742/35, 783/6269) = 580986

LCM of 742/35, 783/6269

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 742/35,783/6269

Given numbers are 742/35,783/6269

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 742,783

Least Common Multiple of Numerators i.e. LCM of 742,783 is 580986.

GCF of Denominators means GCF of 35,6269 as per the given fractions.

GCF of 35,6269 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 742,783

LCM of Fractions 742/35,783/6269 is 580986

Given numbers has no common factors except 1. So, there LCM is their product i.e 580986

Least Common Multiple of 742,783 with GCF Formula

Least Common Multiple of 742,783 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 742,783 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(742,783) = 1

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

GCF(742,783) x common factors =1 x 1 = 1

LCM(742,783) = ( 742 × 783 ) / 1

LCM(742,783) = 580986 / 1

LCM(742,783) = 580986


Lets's calculate GCF of 35,6269

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 580986/1

Therefore the LCM of Fractions 742/35,783/6269 is 580986

Greatest Common Factor of 35,6269 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,6269 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 6269

List of positive integer factors of 6269 that divides 6269 without a remainder.

1,6269

Greatest Common Factor

We found the factors 35,6269 . The biggest common factor number is the GCF number.
So the greatest common factor 35,6269 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 742/35, 783/6269

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 742/35, 783/6269?

Answer: LCM of Numerators as per given numbers 742/35, 783/6269 is

LCM of Numerators i.e. for 742,783 is 580986

GCF of denominators i.e. for 35,6269 is 1.

Thus, LCM of Fractions is 580986.Finally, LCM of Fractions for 742/35, 783/6269 is 580986.