Least Common Multiple of 74/78, 350/67, 170/363

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/78, 350/67, 170/363 quickly i.e. 220150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/78, 350/67, 170/363 is 220150.

LCM(74/78, 350/67, 170/363) = 220150

LCM of 74/78, 350/67, 170/363

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 74/78,350/67,170/363

Given numbers are 74/78,350/67,170/363

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 74,350,170

Least Common Multiple of Numerators i.e. LCM of 74,350,170 is 220150.

GCF of Denominators means GCF of 78,67,363 as per the given fractions.

GCF of 78,67,363 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,350,170

LCM of Fractions 74/78,350/67,170/363 is 220150

2 74, 350, 170
5 37, 175, 85
37, 35, 17

∴ So the LCM of the given numbers is 2 x 5 x 37 x 35 x 17 = 220150

Least Common Multiple of 74,350,170 with GCF Formula

Least Common Multiple of 74,350,170 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 74,350,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,350,170) = 2

common factors(in case of two or more numbers have common factors) = 10

GCF(74,350,170) x common factors =2 x 10 = 20

LCM(74,350,170) = ( 74 × 350 × 170 ) / 20

LCM(74,350,170) = 4403000 / 20

LCM(74,350,170) = 220150


Lets's calculate GCF of 78,67,363

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 220150/1

Therefore the LCM of Fractions 74/78,350/67,170/363 is 220150

Greatest Common Factor of 78,67,363 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,67,363 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 67

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

1,67

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Greatest Common Factor

We found the factors 78,67,363 . The biggest common factor number is the GCF number.
So the greatest common factor 78,67,363 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 74/78, 350/67, 170/363

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 74/78, 350/67, 170/363?

Answer: LCM of Numerators as per given numbers 74/78, 350/67, 170/363 is

LCM of Numerators i.e. for 74,350,170 is 220150

GCF of denominators i.e. for 78,67,363 is 1.

Thus, LCM of Fractions is 220150.Finally, LCM of Fractions for 74/78, 350/67, 170/363 is 220150.