Least Common Multiple of 35/50, 67/60, 11/88, 88/380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/50, 67/60, 11/88, 88/380 quickly i.e. 103180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/50, 67/60, 11/88, 88/380 is 103180.

LCM(35/50, 67/60, 11/88, 88/380) = 103180

LCM of 35/50, 67/60, 11/88, 88/380

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 35/50,67/60,11/88,88/380

Given numbers are 35/50,67/60,11/88,88/380

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 35,67,11,88

Least Common Multiple of Numerators i.e. LCM of 35,67,11,88 is 206360.

GCF of Denominators means GCF of 50,60,88,380 as per the given fractions.

GCF of 50,60,88,380 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,67,11,88

LCM of Fractions 35/50,67/60,11/88,88/380 is 103180

11 35, 67, 11, 88
35, 67, 1, 8

∴ So the LCM of the given numbers is 11 x 35 x 67 x 1 x 8 = 206360

Least Common Multiple of 35,67,11,88 with GCF Formula

Least Common Multiple of 35,67,11,88 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 35,67,11,88 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,67,11,88) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(35,67,11,88) x common factors =1 x 11 = 11

LCM(35,67,11,88) = ( 35 × 67 × 11 × 88 ) / 11

LCM(35,67,11,88) = 2269960 / 11

LCM(35,67,11,88) = 206360


Lets's calculate GCF of 50,60,88,380

2 50, 60, 88, 380
25, 30, 44, 190

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 206360/2

Therefore the LCM of Fractions 35/50,67/60,11/88,88/380 is 103180

Greatest Common Factor of 50,60,88,380 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,60,88,380 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Greatest Common Factor

We found the factors 50,60,88,380 . The biggest common factor number is the GCF number.
So the greatest common factor 50,60,88,380 is 2.


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 35/50, 67/60, 11/88, 88/380

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 35/50, 67/60, 11/88, 88/380?

Answer: LCM of Numerators as per given numbers 35/50, 67/60, 11/88, 88/380 is

LCM of Numerators i.e. for 35,67,11,88 is 206360

GCF of denominators i.e. for 50,60,88,380 is 2.

Thus, LCM of Fractions is 103180.Finally, LCM of Fractions for 35/50, 67/60, 11/88, 88/380 is 103180.