Least Common Multiple of 37/499, 123/245, 196/120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/499, 123/245, 196/120 quickly i.e. 891996 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/499, 123/245, 196/120 is 891996.

LCM(37/499, 123/245, 196/120) = 891996

LCM of 37/499, 123/245, 196/120

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 37/499,123/245,196/120

Given numbers are 37/499,123/245,196/120

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 37,123,196

Least Common Multiple of Numerators i.e. LCM of 37,123,196 is 891996.

GCF of Denominators means GCF of 499,245,120 as per the given fractions.

GCF of 499,245,120 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,123,196

LCM of Fractions 37/499,123/245,196/120 is 891996

Given numbers has no common factors except 1. So, there LCM is their product i.e 891996

Least Common Multiple of 37,123,196 with GCF Formula

Least Common Multiple of 37,123,196 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 37,123,196 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,123,196) = 1

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

GCF(37,123,196) x common factors =1 x 1 = 1

LCM(37,123,196) = ( 37 × 123 × 196 ) / 1

LCM(37,123,196) = 891996 / 1

LCM(37,123,196) = 891996


Lets's calculate GCF of 499,245,120

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 891996/1

Therefore the LCM of Fractions 37/499,123/245,196/120 is 891996

Greatest Common Factor of 499,245,120 By Matching Biggest Common Factor Method

Greatest Common Factor of 499,245,120 By Matching Biggest Common Factor Method

Factors of 499

List of positive integer factors of 499 that divides 499 without a remainder.

1,499

Factors of 245

List of positive integer factors of 245 that divides 245 without a remainder.

1,5,7,35,49,245

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Greatest Common Factor

We found the factors 499,245,120 . The biggest common factor number is the GCF number.
So the greatest common factor 499,245,120 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 37/499, 123/245, 196/120

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 37/499, 123/245, 196/120?

Answer: LCM of Numerators as per given numbers 37/499, 123/245, 196/120 is

LCM of Numerators i.e. for 37,123,196 is 891996

GCF of denominators i.e. for 499,245,120 is 1.

Thus, LCM of Fractions is 891996.Finally, LCM of Fractions for 37/499, 123/245, 196/120 is 891996.