Least Common Multiple of 14/77, 389/19, 845/754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/77, 389/19, 845/754 quickly i.e. 4601870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/77, 389/19, 845/754 is 4601870.

LCM(14/77, 389/19, 845/754) = 4601870

LCM of 14/77, 389/19, 845/754

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 14/77,389/19,845/754

Given numbers are 14/77,389/19,845/754

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 14,389,845

Least Common Multiple of Numerators i.e. LCM of 14,389,845 is 4601870.

GCF of Denominators means GCF of 77,19,754 as per the given fractions.

GCF of 77,19,754 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,389,845

LCM of Fractions 14/77,389/19,845/754 is 4601870

Given numbers has no common factors except 1. So, there LCM is their product i.e 4601870

Least Common Multiple of 14,389,845 with GCF Formula

Least Common Multiple of 14,389,845 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 14,389,845 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,389,845) = 1

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

GCF(14,389,845) x common factors =1 x 1 = 1

LCM(14,389,845) = ( 14 × 389 × 845 ) / 1

LCM(14,389,845) = 4601870 / 1

LCM(14,389,845) = 4601870


Lets's calculate GCF of 77,19,754

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4601870/1

Therefore the LCM of Fractions 14/77,389/19,845/754 is 4601870

Greatest Common Factor of 77,19,754 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,19,754 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 19

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

1,19

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Greatest Common Factor

We found the factors 77,19,754 . The biggest common factor number is the GCF number.
So the greatest common factor 77,19,754 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 14/77, 389/19, 845/754

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 14/77, 389/19, 845/754?

Answer: LCM of Numerators as per given numbers 14/77, 389/19, 845/754 is

LCM of Numerators i.e. for 14,389,845 is 4601870

GCF of denominators i.e. for 77,19,754 is 1.

Thus, LCM of Fractions is 4601870.Finally, LCM of Fractions for 14/77, 389/19, 845/754 is 4601870.