Least Common Multiple of 77/329, 38/872, 495/879

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/329, 38/872, 495/879 quickly i.e. 131670 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/329, 38/872, 495/879 is 131670.

LCM(77/329, 38/872, 495/879) = 131670

LCM of 77/329, 38/872, 495/879

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 77/329,38/872,495/879

Given numbers are 77/329,38/872,495/879

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 77,38,495

Least Common Multiple of Numerators i.e. LCM of 77,38,495 is 131670.

GCF of Denominators means GCF of 329,872,879 as per the given fractions.

GCF of 329,872,879 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,38,495

LCM of Fractions 77/329,38/872,495/879 is 131670

11 77, 38, 495
7, 38, 45

∴ So the LCM of the given numbers is 11 x 7 x 38 x 45 = 131670

Least Common Multiple of 77,38,495 with GCF Formula

Least Common Multiple of 77,38,495 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 77,38,495 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,38,495) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(77,38,495) x common factors =1 x 11 = 11

LCM(77,38,495) = ( 77 × 38 × 495 ) / 11

LCM(77,38,495) = 1448370 / 11

LCM(77,38,495) = 131670


Lets's calculate GCF of 329,872,879

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 131670/1

Therefore the LCM of Fractions 77/329,38/872,495/879 is 131670

Greatest Common Factor of 329,872,879 By Matching Biggest Common Factor Method

Greatest Common Factor of 329,872,879 By Matching Biggest Common Factor Method

Factors of 329

List of positive integer factors of 329 that divides 329 without a remainder.

1,7,47,329

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Factors of 879

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

1,3,293,879

Greatest Common Factor

We found the factors 329,872,879 . The biggest common factor number is the GCF number.
So the greatest common factor 329,872,879 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 77/329, 38/872, 495/879

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 77/329, 38/872, 495/879?

Answer: LCM of Numerators as per given numbers 77/329, 38/872, 495/879 is

LCM of Numerators i.e. for 77,38,495 is 131670

GCF of denominators i.e. for 329,872,879 is 1.

Thus, LCM of Fractions is 131670.Finally, LCM of Fractions for 77/329, 38/872, 495/879 is 131670.