Least Common Multiple of 37/52, 69/49, 419/804

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/52, 69/49, 419/804 quickly i.e. 1069707 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/52, 69/49, 419/804 is 1069707.

LCM(37/52, 69/49, 419/804) = 1069707

LCM of 37/52, 69/49, 419/804

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 37/52,69/49,419/804

Given numbers are 37/52,69/49,419/804

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 37,69,419

Least Common Multiple of Numerators i.e. LCM of 37,69,419 is 1069707.

GCF of Denominators means GCF of 52,49,804 as per the given fractions.

GCF of 52,49,804 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,69,419

LCM of Fractions 37/52,69/49,419/804 is 1069707

Given numbers has no common factors except 1. So, there LCM is their product i.e 1069707

Least Common Multiple of 37,69,419 with GCF Formula

Least Common Multiple of 37,69,419 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 37,69,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,69,419) = 1

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

GCF(37,69,419) x common factors =1 x 1 = 1

LCM(37,69,419) = ( 37 × 69 × 419 ) / 1

LCM(37,69,419) = 1069707 / 1

LCM(37,69,419) = 1069707


Lets's calculate GCF of 52,49,804

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1069707/1

Therefore the LCM of Fractions 37/52,69/49,419/804 is 1069707

Greatest Common Factor of 52,49,804 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,49,804 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 804

List of positive integer factors of 804 that divides 804 without a remainder.

1,2,3,4,6,12,67,134,201,268,402,804

Greatest Common Factor

We found the factors 52,49,804 . The biggest common factor number is the GCF number.
So the greatest common factor 52,49,804 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 37/52, 69/49, 419/804

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 37/52, 69/49, 419/804?

Answer: LCM of Numerators as per given numbers 37/52, 69/49, 419/804 is

LCM of Numerators i.e. for 37,69,419 is 1069707

GCF of denominators i.e. for 52,49,804 is 1.

Thus, LCM of Fractions is 1069707.Finally, LCM of Fractions for 37/52, 69/49, 419/804 is 1069707.