Least Common Multiple of 37/60, 69/55, 398/614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/60, 69/55, 398/614 quickly i.e. 1016094 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/60, 69/55, 398/614 is 1016094.

LCM(37/60, 69/55, 398/614) = 1016094

LCM of 37/60, 69/55, 398/614

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 37/60,69/55,398/614

Given numbers are 37/60,69/55,398/614

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 37,69,398

Least Common Multiple of Numerators i.e. LCM of 37,69,398 is 1016094.

GCF of Denominators means GCF of 60,55,614 as per the given fractions.

GCF of 60,55,614 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,69,398

LCM of Fractions 37/60,69/55,398/614 is 1016094

Given numbers has no common factors except 1. So, there LCM is their product i.e 1016094

Least Common Multiple of 37,69,398 with GCF Formula

Least Common Multiple of 37,69,398 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 37,69,398 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,69,398) = 1

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

GCF(37,69,398) x common factors =1 x 1 = 1

LCM(37,69,398) = ( 37 × 69 × 398 ) / 1

LCM(37,69,398) = 1016094 / 1

LCM(37,69,398) = 1016094


Lets's calculate GCF of 60,55,614

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1016094/1

Therefore the LCM of Fractions 37/60,69/55,398/614 is 1016094

Greatest Common Factor of 60,55,614 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,55,614 By Matching Biggest Common Factor Method

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 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Greatest Common Factor

We found the factors 60,55,614 . The biggest common factor number is the GCF number.
So the greatest common factor 60,55,614 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 37/60, 69/55, 398/614

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 37/60, 69/55, 398/614?

Answer: LCM of Numerators as per given numbers 37/60, 69/55, 398/614 is

LCM of Numerators i.e. for 37,69,398 is 1016094

GCF of denominators i.e. for 60,55,614 is 1.

Thus, LCM of Fractions is 1016094.Finally, LCM of Fractions for 37/60, 69/55, 398/614 is 1016094.