Least Common Multiple of 1/14, 8/35, 7/90, 38/145

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1/14, 8/35, 7/90, 38/145 quickly i.e. 1064 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1/14, 8/35, 7/90, 38/145 is 1064.

LCM(1/14, 8/35, 7/90, 38/145) = 1064

LCM of 1/14, 8/35, 7/90, 38/145

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 1/14,8/35,7/90,38/145

Given numbers are 1/14,8/35,7/90,38/145

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 1,8,7,38

Least Common Multiple of Numerators i.e. LCM of 1,8,7,38 is 1064.

GCF of Denominators means GCF of 14,35,90,145 as per the given fractions.

GCF of 14,35,90,145 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1,8,7,38

LCM of Fractions 1/14,8/35,7/90,38/145 is 1064

2 1, 8, 7, 38
1, 4, 7, 19

∴ So the LCM of the given numbers is 2 x 1 x 4 x 7 x 19 = 1064

Least Common Multiple of 1,8,7,38 with GCF Formula

Least Common Multiple of 1,8,7,38 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 1,8,7,38 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1,8,7,38) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(1,8,7,38) x common factors =1 x 2 = 2

LCM(1,8,7,38) = ( 1 × 8 × 7 × 38 ) / 2

LCM(1,8,7,38) = 2128 / 2

LCM(1,8,7,38) = 1064


Lets's calculate GCF of 14,35,90,145

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1064/1

Therefore the LCM of Fractions 1/14,8/35,7/90,38/145 is 1064

Greatest Common Factor of 14,35,90,145 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,35,90,145 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 145

List of positive integer factors of 145 that divides 145 without a remainder.

1,5,29,145

Greatest Common Factor

We found the factors 14,35,90,145 . The biggest common factor number is the GCF number.
So the greatest common factor 14,35,90,145 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 1/14, 8/35, 7/90, 38/145

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 1/14, 8/35, 7/90, 38/145?

Answer: LCM of Numerators as per given numbers 1/14, 8/35, 7/90, 38/145 is

LCM of Numerators i.e. for 1,8,7,38 is 1064

GCF of denominators i.e. for 14,35,90,145 is 1.

Thus, LCM of Fractions is 1064.Finally, LCM of Fractions for 1/14, 8/35, 7/90, 38/145 is 1064.