Least Common Multiple of 34/71, 68/96, 85/56, 28/567

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/71, 68/96, 85/56, 28/567 quickly i.e. 2380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/71, 68/96, 85/56, 28/567 is 2380.

LCM(34/71, 68/96, 85/56, 28/567) = 2380

LCM of 34/71, 68/96, 85/56, 28/567

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 34/71,68/96,85/56,28/567

Given numbers are 34/71,68/96,85/56,28/567

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 34,68,85,28

Least Common Multiple of Numerators i.e. LCM of 34,68,85,28 is 2380.

GCF of Denominators means GCF of 71,96,56,567 as per the given fractions.

GCF of 71,96,56,567 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,68,85,28

LCM of Fractions 34/71,68/96,85/56,28/567 is 2380

2 34, 68, 85, 28
2 17, 34, 85, 14
17 17, 17, 85, 7
1, 1, 5, 7

∴ So the LCM of the given numbers is 2 x 2 x 17 x 1 x 1 x 5 x 7 = 2380

Least Common Multiple of 34,68,85,28 with GCF Formula

Least Common Multiple of 34,68,85,28 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 34,68,85,28 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,68,85,28) = 1

common factors(in case of two or more numbers have common factors) = 2312

GCF(34,68,85,28) x common factors =1 x 2312 = 2312

LCM(34,68,85,28) = ( 34 × 68 × 85 × 28 ) / 2312

LCM(34,68,85,28) = 5502560 / 2312

LCM(34,68,85,28) = 2380


Lets's calculate GCF of 71,96,56,567

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2380/1

Therefore the LCM of Fractions 34/71,68/96,85/56,28/567 is 2380

Greatest Common Factor of 71,96,56,567 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,96,56,567 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 567

List of positive integer factors of 567 that divides 567 without a remainder.

1,3,7,9,21,27,63,81,189,567

Greatest Common Factor

We found the factors 71,96,56,567 . The biggest common factor number is the GCF number.
So the greatest common factor 71,96,56,567 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 34/71, 68/96, 85/56, 28/567

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 34/71, 68/96, 85/56, 28/567?

Answer: LCM of Numerators as per given numbers 34/71, 68/96, 85/56, 28/567 is

LCM of Numerators i.e. for 34,68,85,28 is 2380

GCF of denominators i.e. for 71,96,56,567 is 1.

Thus, LCM of Fractions is 2380.Finally, LCM of Fractions for 34/71, 68/96, 85/56, 28/567 is 2380.