Least Common Multiple of 569/387, 380/948

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 569/387, 380/948 quickly i.e. 216220/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 569/387, 380/948 is 216220/3.

LCM(569/387, 380/948) = 216220/3

LCM of 569/387, 380/948

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 569/387,380/948

Given numbers are 569/387,380/948

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 569,380

Least Common Multiple of Numerators i.e. LCM of 569,380 is 216220.

GCF of Denominators means GCF of 387,948 as per the given fractions.

GCF of 387,948 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 569,380

LCM of Fractions 569/387,380/948 is 216220/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 216220

Least Common Multiple of 569,380 with GCF Formula

Least Common Multiple of 569,380 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 569,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(569,380) = 1

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

GCF(569,380) x common factors =1 x 1 = 1

LCM(569,380) = ( 569 × 380 ) / 1

LCM(569,380) = 216220 / 1

LCM(569,380) = 216220


Lets's calculate GCF of 387,948

3 387, 948
129, 316

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 216220/3

Therefore the LCM of Fractions 569/387,380/948 is 216220/3

Greatest Common Factor of 387,948 By Matching Biggest Common Factor Method

Greatest Common Factor of 387,948 By Matching Biggest Common Factor Method

Factors of 387

List of positive integer factors of 387 that divides 387 without a remainder.

1,3,9,43,129,387

Factors of 948

List of positive integer factors of 948 that divides 948 without a remainder.

1,2,3,4,6,12,79,158,237,316,474,948

Greatest Common Factor

We found the factors 387,948 . The biggest common factor number is the GCF number.
So the greatest common factor 387,948 is 3.


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 569/387, 380/948

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 569/387, 380/948?

Answer: LCM of Numerators as per given numbers 569/387, 380/948 is

LCM of Numerators i.e. for 569,380 is 216220

GCF of denominators i.e. for 387,948 is 3.

Thus, LCM of Fractions is 216220/3.Finally, LCM of Fractions for 569/387, 380/948 is 216220/3.