Least Common Multiple of 377/51, 143/28, 194/558

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 377/51, 143/28, 194/558 quickly i.e. 804518 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 377/51, 143/28, 194/558 is 804518.

LCM(377/51, 143/28, 194/558) = 804518

LCM of 377/51, 143/28, 194/558

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 377/51,143/28,194/558

Given numbers are 377/51,143/28,194/558

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 377,143,194

Least Common Multiple of Numerators i.e. LCM of 377,143,194 is 804518.

GCF of Denominators means GCF of 51,28,558 as per the given fractions.

GCF of 51,28,558 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 377,143,194

LCM of Fractions 377/51,143/28,194/558 is 804518

13 377, 143, 194
29, 11, 194

∴ So the LCM of the given numbers is 13 x 29 x 11 x 194 = 804518

Least Common Multiple of 377,143,194 with GCF Formula

Least Common Multiple of 377,143,194 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 377,143,194 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(377,143,194) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(377,143,194) x common factors =1 x 13 = 13

LCM(377,143,194) = ( 377 × 143 × 194 ) / 13

LCM(377,143,194) = 10458734 / 13

LCM(377,143,194) = 804518


Lets's calculate GCF of 51,28,558

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 804518/1

Therefore the LCM of Fractions 377/51,143/28,194/558 is 804518

Greatest Common Factor of 51,28,558 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,28,558 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Greatest Common Factor

We found the factors 51,28,558 . The biggest common factor number is the GCF number.
So the greatest common factor 51,28,558 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 377/51, 143/28, 194/558

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 377/51, 143/28, 194/558?

Answer: LCM of Numerators as per given numbers 377/51, 143/28, 194/558 is

LCM of Numerators i.e. for 377,143,194 is 804518

GCF of denominators i.e. for 51,28,558 is 1.

Thus, LCM of Fractions is 804518.Finally, LCM of Fractions for 377/51, 143/28, 194/558 is 804518.