Least Common Multiple of 51/801, 60/498, 380/428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/801, 60/498, 380/428 quickly i.e. 19380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/801, 60/498, 380/428 is 19380.

LCM(51/801, 60/498, 380/428) = 19380

LCM of 51/801, 60/498, 380/428

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 51/801,60/498,380/428

Given numbers are 51/801,60/498,380/428

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 51,60,380

Least Common Multiple of Numerators i.e. LCM of 51,60,380 is 19380.

GCF of Denominators means GCF of 801,498,428 as per the given fractions.

GCF of 801,498,428 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,60,380

LCM of Fractions 51/801,60/498,380/428 is 19380

2 51, 60, 380
2 51, 30, 190
3 51, 15, 95
5 17, 5, 95
17, 1, 19

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 17 x 1 x 19 = 19380

Least Common Multiple of 51,60,380 with GCF Formula

Least Common Multiple of 51,60,380 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 51,60,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,60,380) = 1

common factors(in case of two or more numbers have common factors) = 60

GCF(51,60,380) x common factors =1 x 60 = 60

LCM(51,60,380) = ( 51 × 60 × 380 ) / 60

LCM(51,60,380) = 1162800 / 60

LCM(51,60,380) = 19380


Lets's calculate GCF of 801,498,428

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19380/1

Therefore the LCM of Fractions 51/801,60/498,380/428 is 19380

Greatest Common Factor of 801,498,428 By Matching Biggest Common Factor Method

Greatest Common Factor of 801,498,428 By Matching Biggest Common Factor Method

Factors of 801

List of positive integer factors of 801 that divides 801 without a remainder.

1,3,9,89,267,801

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Greatest Common Factor

We found the factors 801,498,428 . The biggest common factor number is the GCF number.
So the greatest common factor 801,498,428 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 51/801, 60/498, 380/428

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 51/801, 60/498, 380/428?

Answer: LCM of Numerators as per given numbers 51/801, 60/498, 380/428 is

LCM of Numerators i.e. for 51,60,380 is 19380

GCF of denominators i.e. for 801,498,428 is 1.

Thus, LCM of Fractions is 19380.Finally, LCM of Fractions for 51/801, 60/498, 380/428 is 19380.