Least Common Multiple of 75/697, 78/879, 379/477

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/697, 78/879, 379/477 quickly i.e. 739050 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/697, 78/879, 379/477 is 739050.

LCM(75/697, 78/879, 379/477) = 739050

LCM of 75/697, 78/879, 379/477

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 75/697,78/879,379/477

Given numbers are 75/697,78/879,379/477

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 75,78,379

Least Common Multiple of Numerators i.e. LCM of 75,78,379 is 739050.

GCF of Denominators means GCF of 697,879,477 as per the given fractions.

GCF of 697,879,477 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,78,379

LCM of Fractions 75/697,78/879,379/477 is 739050

3 75, 78, 379
25, 26, 379

∴ So the LCM of the given numbers is 3 x 25 x 26 x 379 = 739050

Least Common Multiple of 75,78,379 with GCF Formula

Least Common Multiple of 75,78,379 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 75,78,379 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,78,379) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(75,78,379) x common factors =1 x 3 = 3

LCM(75,78,379) = ( 75 × 78 × 379 ) / 3

LCM(75,78,379) = 2217150 / 3

LCM(75,78,379) = 739050


Lets's calculate GCF of 697,879,477

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 739050/1

Therefore the LCM of Fractions 75/697,78/879,379/477 is 739050

Greatest Common Factor of 697,879,477 By Matching Biggest Common Factor Method

Greatest Common Factor of 697,879,477 By Matching Biggest Common Factor Method

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Factors of 879

List of positive integer factors of 879 that divides 879 without a remainder.

1,3,293,879

Factors of 477

List of positive integer factors of 477 that divides 477 without a remainder.

1,3,9,53,159,477

Greatest Common Factor

We found the factors 697,879,477 . The biggest common factor number is the GCF number.
So the greatest common factor 697,879,477 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 75/697, 78/879, 379/477

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 75/697, 78/879, 379/477?

Answer: LCM of Numerators as per given numbers 75/697, 78/879, 379/477 is

LCM of Numerators i.e. for 75,78,379 is 739050

GCF of denominators i.e. for 697,879,477 is 1.

Thus, LCM of Fractions is 739050.Finally, LCM of Fractions for 75/697, 78/879, 379/477 is 739050.