Least Common Multiple of 34/872, 6478/8144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/872, 6478/8144 quickly i.e. 110126/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/872, 6478/8144 is 110126/8.

LCM(34/872, 6478/8144) = 110126/8

LCM of 34/872, 6478/8144

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 34/872,6478/8144

Given numbers are 34/872,6478/8144

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 34,6478

Least Common Multiple of Numerators i.e. LCM of 34,6478 is 110126.

GCF of Denominators means GCF of 872,8144 as per the given fractions.

GCF of 872,8144 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,6478

LCM of Fractions 34/872,6478/8144 is 110126/8

2 34, 6478
17, 3239

∴ So the LCM of the given numbers is 2 x 17 x 3239 = 110126

Least Common Multiple of 34,6478 with GCF Formula

Least Common Multiple of 34,6478 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 34,6478 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,6478) = 2

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

GCF(34,6478) x common factors =2 x 1 = 2

LCM(34,6478) = ( 34 × 6478 ) / 2

LCM(34,6478) = 220252 / 2

LCM(34,6478) = 110126


Lets's calculate GCF of 872,8144

2 872, 8144
2 436, 4072
2 218, 2036
109, 1018

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 110126/8

Therefore the LCM of Fractions 34/872,6478/8144 is 110126/8

Greatest Common Factor of 872,8144 By Matching Biggest Common Factor Method

Greatest Common Factor of 872,8144 By Matching Biggest Common Factor Method

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 8144

List of positive integer factors of 8144 that divides 8144 without a remainder.

1,2,4,8,16,509,1018,2036,4072,8144

Greatest Common Factor

We found the factors 872,8144 . The biggest common factor number is the GCF number.
So the greatest common factor 872,8144 is 8.


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 34/872, 6478/8144

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 34/872, 6478/8144?

Answer: LCM of Numerators as per given numbers 34/872, 6478/8144 is

LCM of Numerators i.e. for 34,6478 is 110126

GCF of denominators i.e. for 872,8144 is 8.

Thus, LCM of Fractions is 110126/8.Finally, LCM of Fractions for 34/872, 6478/8144 is 110126/8.