Least Common Multiple of 960/14, 858/3064

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 960/14, 858/3064 quickly i.e. 68640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 960/14, 858/3064 is 68640.

LCM(960/14, 858/3064) = 68640

LCM of 960/14, 858/3064

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 960/14,858/3064

Given numbers are 960/14,858/3064

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 960,858

Least Common Multiple of Numerators i.e. LCM of 960,858 is 137280.

GCF of Denominators means GCF of 14,3064 as per the given fractions.

GCF of 14,3064 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 960,858

LCM of Fractions 960/14,858/3064 is 68640

2 960, 858
3 480, 429
160, 143

∴ So the LCM of the given numbers is 2 x 3 x 160 x 143 = 137280

Least Common Multiple of 960,858 with GCF Formula

Least Common Multiple of 960,858 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 960,858 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(960,858) = 6

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

GCF(960,858) x common factors =6 x 1 = 6

LCM(960,858) = ( 960 × 858 ) / 6

LCM(960,858) = 823680 / 6

LCM(960,858) = 137280


Lets's calculate GCF of 14,3064

2 14, 3064
7, 1532

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 137280/2

Therefore the LCM of Fractions 960/14,858/3064 is 68640

Greatest Common Factor of 14,3064 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,3064 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 3064

List of positive integer factors of 3064 that divides 3064 without a remainder.

1,2,4,8,383,766,1532,3064

Greatest Common Factor

We found the factors 14,3064 . The biggest common factor number is the GCF number.
So the greatest common factor 14,3064 is 2.


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 960/14, 858/3064

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 960/14, 858/3064?

Answer: LCM of Numerators as per given numbers 960/14, 858/3064 is

LCM of Numerators i.e. for 960,858 is 137280

GCF of denominators i.e. for 14,3064 is 2.

Thus, LCM of Fractions is 68640.Finally, LCM of Fractions for 960/14, 858/3064 is 68640.