Least Common Multiple of 30/67, 45/50, 45/49, 16/77

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/67, 45/50, 45/49, 16/77 quickly i.e. 720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/67, 45/50, 45/49, 16/77 is 720.

LCM(30/67, 45/50, 45/49, 16/77) = 720

LCM of 30/67, 45/50, 45/49, 16/77

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 30/67,45/50,45/49,16/77

Given numbers are 30/67,45/50,45/49,16/77

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 30,45,45,16

Least Common Multiple of Numerators i.e. LCM of 30,45,45,16 is 720.

GCF of Denominators means GCF of 67,50,49,77 as per the given fractions.

GCF of 67,50,49,77 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,45,45,16

LCM of Fractions 30/67,45/50,45/49,16/77 is 720

2 30, 45, 45, 16
3 15, 45, 45, 8
3 5, 15, 15, 8
5 5, 5, 5, 8
1, 1, 1, 8

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 1 x 1 x 1 x 8 = 720

Least Common Multiple of 30,45,45,16 with GCF Formula

Least Common Multiple of 30,45,45,16 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 30,45,45,16 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,45,45,16) = 1

common factors(in case of two or more numbers have common factors) = 1350

GCF(30,45,45,16) x common factors =1 x 1350 = 1350

LCM(30,45,45,16) = ( 30 × 45 × 45 × 16 ) / 1350

LCM(30,45,45,16) = 972000 / 1350

LCM(30,45,45,16) = 720


Lets's calculate GCF of 67,50,49,77

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 720/1

Therefore the LCM of Fractions 30/67,45/50,45/49,16/77 is 720

Greatest Common Factor of 67,50,49,77 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,50,49,77 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Greatest Common Factor

We found the factors 67,50,49,77 . The biggest common factor number is the GCF number.
So the greatest common factor 67,50,49,77 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 30/67, 45/50, 45/49, 16/77

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 30/67, 45/50, 45/49, 16/77?

Answer: LCM of Numerators as per given numbers 30/67, 45/50, 45/49, 16/77 is

LCM of Numerators i.e. for 30,45,45,16 is 720

GCF of denominators i.e. for 67,50,49,77 is 1.

Thus, LCM of Fractions is 720.Finally, LCM of Fractions for 30/67, 45/50, 45/49, 16/77 is 720.