Least Common Multiple of 30/26, 37/35, 241/958

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/26, 37/35, 241/958 quickly i.e. 267510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/26, 37/35, 241/958 is 267510.

LCM(30/26, 37/35, 241/958) = 267510

LCM of 30/26, 37/35, 241/958

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 30/26,37/35,241/958

Given numbers are 30/26,37/35,241/958

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 30,37,241

Least Common Multiple of Numerators i.e. LCM of 30,37,241 is 267510.

GCF of Denominators means GCF of 26,35,958 as per the given fractions.

GCF of 26,35,958 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,37,241

LCM of Fractions 30/26,37/35,241/958 is 267510

Given numbers has no common factors except 1. So, there LCM is their product i.e 267510

Least Common Multiple of 30,37,241 with GCF Formula

Least Common Multiple of 30,37,241 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 30,37,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,37,241) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(30,37,241) x common factors =1 x 1 = 1

LCM(30,37,241) = ( 30 × 37 × 241 ) / 1

LCM(30,37,241) = 267510 / 1

LCM(30,37,241) = 267510


Lets's calculate GCF of 26,35,958

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 267510/1

Therefore the LCM of Fractions 30/26,37/35,241/958 is 267510

Greatest Common Factor of 26,35,958 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,35,958 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 35

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

1,5,7,35

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1,2,479,958

Greatest Common Factor

We found the factors 26,35,958 . The biggest common factor number is the GCF number.
So the greatest common factor 26,35,958 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 30/26, 37/35, 241/958

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 30/26, 37/35, 241/958?

Answer: LCM of Numerators as per given numbers 30/26, 37/35, 241/958 is

LCM of Numerators i.e. for 30,37,241 is 267510

GCF of denominators i.e. for 26,35,958 is 1.

Thus, LCM of Fractions is 267510.Finally, LCM of Fractions for 30/26, 37/35, 241/958 is 267510.