Least Common Multiple of 367/77, 550/84, 602/168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 367/77, 550/84, 602/168 quickly i.e. 8679550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 367/77, 550/84, 602/168 is 8679550.

LCM(367/77, 550/84, 602/168) = 8679550

LCM of 367/77, 550/84, 602/168

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 367/77,550/84,602/168

Given numbers are 367/77,550/84,602/168

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 367,550,602

Least Common Multiple of Numerators i.e. LCM of 367,550,602 is 60756850.

GCF of Denominators means GCF of 77,84,168 as per the given fractions.

GCF of 77,84,168 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 367,550,602

LCM of Fractions 367/77,550/84,602/168 is 8679550

2 367, 550, 602
367, 275, 301

∴ So the LCM of the given numbers is 2 x 367 x 275 x 301 = 60756850

Least Common Multiple of 367,550,602 with GCF Formula

Least Common Multiple of 367,550,602 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 367,550,602 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(367,550,602) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(367,550,602) x common factors =1 x 2 = 2

LCM(367,550,602) = ( 367 × 550 × 602 ) / 2

LCM(367,550,602) = 121513700 / 2

LCM(367,550,602) = 60756850


Lets's calculate GCF of 77,84,168

7 77, 84, 168
11, 12, 24

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60756850/7

Therefore the LCM of Fractions 367/77,550/84,602/168 is 8679550

Greatest Common Factor of 77,84,168 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,84,168 By Matching Biggest Common Factor Method

Factors of 77

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

1,7,11,77

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Greatest Common Factor

We found the factors 77,84,168 . The biggest common factor number is the GCF number.
So the greatest common factor 77,84,168 is 7.


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 367/77, 550/84, 602/168

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 367/77, 550/84, 602/168?

Answer: LCM of Numerators as per given numbers 367/77, 550/84, 602/168 is

LCM of Numerators i.e. for 367,550,602 is 60756850

GCF of denominators i.e. for 77,84,168 is 7.

Thus, LCM of Fractions is 8679550.Finally, LCM of Fractions for 367/77, 550/84, 602/168 is 8679550.