Least Common Multiple of 969/47, 580/3506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 969/47, 580/3506 quickly i.e. 562020 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, 580/3506 is 562020.

LCM(969/47, 580/3506) = 562020

LCM of 969/47, 580/3506

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 969/47,580/3506

Given numbers are 969/47,580/3506

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 969,580

Least Common Multiple of Numerators i.e. LCM of 969,580 is 562020.

GCF of Denominators means GCF of 47,3506 as per the given fractions.

GCF of 47,3506 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 969,580

LCM of Fractions 969/47,580/3506 is 562020

Given numbers has no common factors except 1. So, there LCM is their product i.e 562020

Least Common Multiple of 969,580 with GCF Formula

Least Common Multiple of 969,580 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 969,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(969,580) = 1

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

GCF(969,580) x common factors =1 x 1 = 1

LCM(969,580) = ( 969 × 580 ) / 1

LCM(969,580) = 562020 / 1

LCM(969,580) = 562020


Lets's calculate GCF of 47,3506

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 562020/1

Therefore the LCM of Fractions 969/47,580/3506 is 562020

Greatest Common Factor of 47,3506 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,3506 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 3506

List of positive integer factors of 3506 that divides 3506 without a remainder.

1,2,1753,3506

Greatest Common Factor

We found the factors 47,3506 . The biggest common factor number is the GCF number.
So the greatest common factor 47,3506 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, 580/3506

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, 580/3506?

Answer: LCM of Numerators as per given numbers 969/47, 580/3506 is

LCM of Numerators i.e. for 969,580 is 562020

GCF of denominators i.e. for 47,3506 is 1.

Thus, LCM of Fractions is 562020.Finally, LCM of Fractions for 969/47, 580/3506 is 562020.