Least Common Multiple of 807/19, 475/52, 121/374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 807/19, 475/52, 121/374 quickly i.e. 46382325 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 807/19, 475/52, 121/374 is 46382325.

LCM(807/19, 475/52, 121/374) = 46382325

LCM of 807/19, 475/52, 121/374

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 807/19,475/52,121/374

Given numbers are 807/19,475/52,121/374

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 807,475,121

Least Common Multiple of Numerators i.e. LCM of 807,475,121 is 46382325.

GCF of Denominators means GCF of 19,52,374 as per the given fractions.

GCF of 19,52,374 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 807,475,121

LCM of Fractions 807/19,475/52,121/374 is 46382325

Given numbers has no common factors except 1. So, there LCM is their product i.e 46382325

Least Common Multiple of 807,475,121 with GCF Formula

Least Common Multiple of 807,475,121 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 807,475,121 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(807,475,121) = 1

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

GCF(807,475,121) x common factors =1 x 1 = 1

LCM(807,475,121) = ( 807 × 475 × 121 ) / 1

LCM(807,475,121) = 46382325 / 1

LCM(807,475,121) = 46382325


Lets's calculate GCF of 19,52,374

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46382325/1

Therefore the LCM of Fractions 807/19,475/52,121/374 is 46382325

Greatest Common Factor of 19,52,374 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,52,374 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 52

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

1,2,4,13,26,52

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Greatest Common Factor

We found the factors 19,52,374 . The biggest common factor number is the GCF number.
So the greatest common factor 19,52,374 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 807/19, 475/52, 121/374

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 807/19, 475/52, 121/374?

Answer: LCM of Numerators as per given numbers 807/19, 475/52, 121/374 is

LCM of Numerators i.e. for 807,475,121 is 46382325

GCF of denominators i.e. for 19,52,374 is 1.

Thus, LCM of Fractions is 46382325.Finally, LCM of Fractions for 807/19, 475/52, 121/374 is 46382325.