Least Common Multiple of 969/47, 782/8779

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 969/47, 782/8779 quickly i.e. 44574 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 969/47, 782/8779 is 44574.

LCM(969/47, 782/8779) = 44574

LCM of 969/47, 782/8779

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 969/47,782/8779

Given numbers are 969/47,782/8779

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 969,782

Least Common Multiple of Numerators i.e. LCM of 969,782 is 44574.

GCF of Denominators means GCF of 47,8779 as per the given fractions.

GCF of 47,8779 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 969,782

LCM of Fractions 969/47,782/8779 is 44574

17 969, 782
57, 46

∴ So the LCM of the given numbers is 17 x 57 x 46 = 44574

Least Common Multiple of 969,782 with GCF Formula

Least Common Multiple of 969,782 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 969,782 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(969,782) = 17

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

GCF(969,782) x common factors =17 x 1 = 17

LCM(969,782) = ( 969 × 782 ) / 17

LCM(969,782) = 757758 / 17

LCM(969,782) = 44574


Lets's calculate GCF of 47,8779

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44574/1

Therefore the LCM of Fractions 969/47,782/8779 is 44574

Greatest Common Factor of 47,8779 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,8779 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 8779

List of positive integer factors of 8779 that divides 8779 without a remainder.

1,8779

Greatest Common Factor

We found the factors 47,8779 . The biggest common factor number is the GCF number.
So the greatest common factor 47,8779 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 969/47, 782/8779

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 969/47, 782/8779?

Answer: LCM of Numerators as per given numbers 969/47, 782/8779 is

LCM of Numerators i.e. for 969,782 is 44574

GCF of denominators i.e. for 47,8779 is 1.

Thus, LCM of Fractions is 44574.Finally, LCM of Fractions for 969/47, 782/8779 is 44574.