Least Common Multiple of 434/115, 861/989, 348/143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 434/115, 861/989, 348/143 quickly i.e. 3096156 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 434/115, 861/989, 348/143 is 3096156.

LCM(434/115, 861/989, 348/143) = 3096156

LCM of 434/115, 861/989, 348/143

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 434/115,861/989,348/143

Given numbers are 434/115,861/989,348/143

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 434,861,348

Least Common Multiple of Numerators i.e. LCM of 434,861,348 is 3096156.

GCF of Denominators means GCF of 115,989,143 as per the given fractions.

GCF of 115,989,143 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 434,861,348

LCM of Fractions 434/115,861/989,348/143 is 3096156

2 434, 861, 348
3 217, 861, 174
7 217, 287, 58
31, 41, 58

∴ So the LCM of the given numbers is 2 x 3 x 7 x 31 x 41 x 58 = 3096156

Least Common Multiple of 434,861,348 with GCF Formula

Least Common Multiple of 434,861,348 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 434,861,348 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(434,861,348) = 1

common factors(in case of two or more numbers have common factors) = 42

GCF(434,861,348) x common factors =1 x 42 = 42

LCM(434,861,348) = ( 434 × 861 × 348 ) / 42

LCM(434,861,348) = 130038552 / 42

LCM(434,861,348) = 3096156


Lets's calculate GCF of 115,989,143

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3096156/1

Therefore the LCM of Fractions 434/115,861/989,348/143 is 3096156

Greatest Common Factor of 115,989,143 By Matching Biggest Common Factor Method

Greatest Common Factor of 115,989,143 By Matching Biggest Common Factor Method

Factors of 115

List of positive integer factors of 115 that divides 115 without a remainder.

1,5,23,115

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Greatest Common Factor

We found the factors 115,989,143 . The biggest common factor number is the GCF number.
So the greatest common factor 115,989,143 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 434/115, 861/989, 348/143

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 434/115, 861/989, 348/143?

Answer: LCM of Numerators as per given numbers 434/115, 861/989, 348/143 is

LCM of Numerators i.e. for 434,861,348 is 3096156

GCF of denominators i.e. for 115,989,143 is 1.

Thus, LCM of Fractions is 3096156.Finally, LCM of Fractions for 434/115, 861/989, 348/143 is 3096156.