Least Common Multiple of 380/63, 246/55, 861/625

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 380/63, 246/55, 861/625 quickly i.e. 327180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 380/63, 246/55, 861/625 is 327180.

LCM(380/63, 246/55, 861/625) = 327180

LCM of 380/63, 246/55, 861/625

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 380/63,246/55,861/625

Given numbers are 380/63,246/55,861/625

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 380,246,861

Least Common Multiple of Numerators i.e. LCM of 380,246,861 is 327180.

GCF of Denominators means GCF of 63,55,625 as per the given fractions.

GCF of 63,55,625 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 380,246,861

LCM of Fractions 380/63,246/55,861/625 is 327180

2 380, 246, 861
3 190, 123, 861
41 190, 41, 287
190, 1, 7

∴ So the LCM of the given numbers is 2 x 3 x 41 x 190 x 1 x 7 = 327180

Least Common Multiple of 380,246,861 with GCF Formula

Least Common Multiple of 380,246,861 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 380,246,861 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(380,246,861) = 1

common factors(in case of two or more numbers have common factors) = 246

GCF(380,246,861) x common factors =1 x 246 = 246

LCM(380,246,861) = ( 380 × 246 × 861 ) / 246

LCM(380,246,861) = 80486280 / 246

LCM(380,246,861) = 327180


Lets's calculate GCF of 63,55,625

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 327180/1

Therefore the LCM of Fractions 380/63,246/55,861/625 is 327180

Greatest Common Factor of 63,55,625 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,55,625 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 625

List of positive integer factors of 625 that divides 625 without a remainder.

1,5,25,125,625

Greatest Common Factor

We found the factors 63,55,625 . The biggest common factor number is the GCF number.
So the greatest common factor 63,55,625 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 380/63, 246/55, 861/625

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 380/63, 246/55, 861/625?

Answer: LCM of Numerators as per given numbers 380/63, 246/55, 861/625 is

LCM of Numerators i.e. for 380,246,861 is 327180

GCF of denominators i.e. for 63,55,625 is 1.

Thus, LCM of Fractions is 327180.Finally, LCM of Fractions for 380/63, 246/55, 861/625 is 327180.