Least Common Multiple of 188/51, 262/93, 262/689

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 188/51, 262/93, 262/689 quickly i.e. 24628 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 188/51, 262/93, 262/689 is 24628.

LCM(188/51, 262/93, 262/689) = 24628

LCM of 188/51, 262/93, 262/689

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 188/51,262/93,262/689

Given numbers are 188/51,262/93,262/689

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 188,262,262

Least Common Multiple of Numerators i.e. LCM of 188,262,262 is 24628.

GCF of Denominators means GCF of 51,93,689 as per the given fractions.

GCF of 51,93,689 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 188,262,262

LCM of Fractions 188/51,262/93,262/689 is 24628

2 188, 262, 262
131 94, 131, 131
94, 1, 1

∴ So the LCM of the given numbers is 2 x 131 x 94 x 1 x 1 = 24628

Least Common Multiple of 188,262,262 with GCF Formula

Least Common Multiple of 188,262,262 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 188,262,262 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(188,262,262) = 2

common factors(in case of two or more numbers have common factors) = 262

GCF(188,262,262) x common factors =2 x 262 = 524

LCM(188,262,262) = ( 188 × 262 × 262 ) / 524

LCM(188,262,262) = 12905072 / 524

LCM(188,262,262) = 24628


Lets's calculate GCF of 51,93,689

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24628/1

Therefore the LCM of Fractions 188/51,262/93,262/689 is 24628

Greatest Common Factor of 51,93,689 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,93,689 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 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Greatest Common Factor

We found the factors 51,93,689 . The biggest common factor number is the GCF number.
So the greatest common factor 51,93,689 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 188/51, 262/93, 262/689

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 188/51, 262/93, 262/689?

Answer: LCM of Numerators as per given numbers 188/51, 262/93, 262/689 is

LCM of Numerators i.e. for 188,262,262 is 24628

GCF of denominators i.e. for 51,93,689 is 1.

Thus, LCM of Fractions is 24628.Finally, LCM of Fractions for 188/51, 262/93, 262/689 is 24628.