Least Common Multiple of 67/14, 87/35, 56/64, 37/18

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/14, 87/35, 56/64, 37/18 quickly i.e. 12077688 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/14, 87/35, 56/64, 37/18 is 12077688.

LCM(67/14, 87/35, 56/64, 37/18) = 12077688

LCM of 67/14, 87/35, 56/64, 37/18

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 67/14,87/35,56/64,37/18

Given numbers are 67/14,87/35,56/64,37/18

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 67,87,56,37

Least Common Multiple of Numerators i.e. LCM of 67,87,56,37 is 12077688.

GCF of Denominators means GCF of 14,35,64,18 as per the given fractions.

GCF of 14,35,64,18 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,87,56,37

LCM of Fractions 67/14,87/35,56/64,37/18 is 12077688

Given numbers has no common factors except 1. So, there LCM is their product i.e 12077688

Least Common Multiple of 67,87,56,37 with GCF Formula

Least Common Multiple of 67,87,56,37 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 67,87,56,37 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,87,56,37) = 1

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

GCF(67,87,56,37) x common factors =1 x 1 = 1

LCM(67,87,56,37) = ( 67 × 87 × 56 × 37 ) / 1

LCM(67,87,56,37) = 12077688 / 1

LCM(67,87,56,37) = 12077688


Lets's calculate GCF of 14,35,64,18

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12077688/1

Therefore the LCM of Fractions 67/14,87/35,56/64,37/18 is 12077688

Greatest Common Factor of 14,35,64,18 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,35,64,18 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 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Greatest Common Factor

We found the factors 14,35,64,18 . The biggest common factor number is the GCF number.
So the greatest common factor 14,35,64,18 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 67/14, 87/35, 56/64, 37/18

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 67/14, 87/35, 56/64, 37/18?

Answer: LCM of Numerators as per given numbers 67/14, 87/35, 56/64, 37/18 is

LCM of Numerators i.e. for 67,87,56,37 is 12077688

GCF of denominators i.e. for 14,35,64,18 is 1.

Thus, LCM of Fractions is 12077688.Finally, LCM of Fractions for 67/14, 87/35, 56/64, 37/18 is 12077688.