Least Common Multiple of 30/361, 5557/1037

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 30/361, 5557/1037 quickly i.e. 166710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/361, 5557/1037 is 166710.

LCM(30/361, 5557/1037) = 166710

LCM of 30/361, 5557/1037

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 30/361,5557/1037

Given numbers are 30/361,5557/1037

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 30,5557

Least Common Multiple of Numerators i.e. LCM of 30,5557 is 166710.

GCF of Denominators means GCF of 361,1037 as per the given fractions.

GCF of 361,1037 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,5557

LCM of Fractions 30/361,5557/1037 is 166710

Given numbers has no common factors except 1. So, there LCM is their product i.e 166710

Least Common Multiple of 30,5557 with GCF Formula

Least Common Multiple of 30,5557 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 30,5557 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,5557) = 1

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

GCF(30,5557) x common factors =1 x 1 = 1

LCM(30,5557) = ( 30 × 5557 ) / 1

LCM(30,5557) = 166710 / 1

LCM(30,5557) = 166710


Lets's calculate GCF of 361,1037

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 166710/1

Therefore the LCM of Fractions 30/361,5557/1037 is 166710

Greatest Common Factor of 361,1037 By Matching Biggest Common Factor Method

Greatest Common Factor of 361,1037 By Matching Biggest Common Factor Method

Factors of 361

List of positive integer factors of 361 that divides 361 without a remainder.

1,19,361

Factors of 1037

List of positive integer factors of 1037 that divides 1037 without a remainder.

1,17,61,1037

Greatest Common Factor

We found the factors 361,1037 . The biggest common factor number is the GCF number.
So the greatest common factor 361,1037 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 30/361, 5557/1037

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 30/361, 5557/1037?

Answer: LCM of Numerators as per given numbers 30/361, 5557/1037 is

LCM of Numerators i.e. for 30,5557 is 166710

GCF of denominators i.e. for 361,1037 is 1.

Thus, LCM of Fractions is 166710.Finally, LCM of Fractions for 30/361, 5557/1037 is 166710.