Least Common Multiple of 77/346, 689/432, 104/439

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/346, 689/432, 104/439 quickly i.e. 424424 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/346, 689/432, 104/439 is 424424.

LCM(77/346, 689/432, 104/439) = 424424

LCM of 77/346, 689/432, 104/439

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 77/346,689/432,104/439

Given numbers are 77/346,689/432,104/439

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 77,689,104

Least Common Multiple of Numerators i.e. LCM of 77,689,104 is 424424.

GCF of Denominators means GCF of 346,432,439 as per the given fractions.

GCF of 346,432,439 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,689,104

LCM of Fractions 77/346,689/432,104/439 is 424424

13 77, 689, 104
77, 53, 8

∴ So the LCM of the given numbers is 13 x 77 x 53 x 8 = 424424

Least Common Multiple of 77,689,104 with GCF Formula

Least Common Multiple of 77,689,104 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 77,689,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,689,104) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(77,689,104) x common factors =1 x 13 = 13

LCM(77,689,104) = ( 77 × 689 × 104 ) / 13

LCM(77,689,104) = 5517512 / 13

LCM(77,689,104) = 424424


Lets's calculate GCF of 346,432,439

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 424424/1

Therefore the LCM of Fractions 77/346,689/432,104/439 is 424424

Greatest Common Factor of 346,432,439 By Matching Biggest Common Factor Method

Greatest Common Factor of 346,432,439 By Matching Biggest Common Factor Method

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Factors of 439

List of positive integer factors of 439 that divides 439 without a remainder.

1,439

Greatest Common Factor

We found the factors 346,432,439 . The biggest common factor number is the GCF number.
So the greatest common factor 346,432,439 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 77/346, 689/432, 104/439

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 77/346, 689/432, 104/439?

Answer: LCM of Numerators as per given numbers 77/346, 689/432, 104/439 is

LCM of Numerators i.e. for 77,689,104 is 424424

GCF of denominators i.e. for 346,432,439 is 1.

Thus, LCM of Fractions is 424424.Finally, LCM of Fractions for 77/346, 689/432, 104/439 is 424424.