Least Common Multiple of 88/901, 45/814, 188/397

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 88/901, 45/814, 188/397 quickly i.e. 186120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/901, 45/814, 188/397 is 186120.

LCM(88/901, 45/814, 188/397) = 186120

LCM of 88/901, 45/814, 188/397

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 88/901,45/814,188/397

Given numbers are 88/901,45/814,188/397

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 88,45,188

Least Common Multiple of Numerators i.e. LCM of 88,45,188 is 186120.

GCF of Denominators means GCF of 901,814,397 as per the given fractions.

GCF of 901,814,397 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,45,188

LCM of Fractions 88/901,45/814,188/397 is 186120

2 88, 45, 188
2 44, 45, 94
22, 45, 47

∴ So the LCM of the given numbers is 2 x 2 x 22 x 45 x 47 = 186120

Least Common Multiple of 88,45,188 with GCF Formula

Least Common Multiple of 88,45,188 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 88,45,188 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,45,188) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(88,45,188) x common factors =1 x 4 = 4

LCM(88,45,188) = ( 88 × 45 × 188 ) / 4

LCM(88,45,188) = 744480 / 4

LCM(88,45,188) = 186120


Lets's calculate GCF of 901,814,397

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 186120/1

Therefore the LCM of Fractions 88/901,45/814,188/397 is 186120

Greatest Common Factor of 901,814,397 By Matching Biggest Common Factor Method

Greatest Common Factor of 901,814,397 By Matching Biggest Common Factor Method

Factors of 901

List of positive integer factors of 901 that divides 901 without a remainder.

1,17,53,901

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Factors of 397

List of positive integer factors of 397 that divides 397 without a remainder.

1,397

Greatest Common Factor

We found the factors 901,814,397 . The biggest common factor number is the GCF number.
So the greatest common factor 901,814,397 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 88/901, 45/814, 188/397

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 88/901, 45/814, 188/397?

Answer: LCM of Numerators as per given numbers 88/901, 45/814, 188/397 is

LCM of Numerators i.e. for 88,45,188 is 186120

GCF of denominators i.e. for 901,814,397 is 1.

Thus, LCM of Fractions is 186120.Finally, LCM of Fractions for 88/901, 45/814, 188/397 is 186120.