Least Common Multiple of 178/14, 768/36, 574/137

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 178/14, 768/36, 574/137 quickly i.e. 19617024 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 178/14, 768/36, 574/137 is 19617024.

LCM(178/14, 768/36, 574/137) = 19617024

LCM of 178/14, 768/36, 574/137

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 178/14,768/36,574/137

Given numbers are 178/14,768/36,574/137

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 178,768,574

Least Common Multiple of Numerators i.e. LCM of 178,768,574 is 19617024.

GCF of Denominators means GCF of 14,36,137 as per the given fractions.

GCF of 14,36,137 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 178,768,574

LCM of Fractions 178/14,768/36,574/137 is 19617024

2 178, 768, 574
89, 384, 287

∴ So the LCM of the given numbers is 2 x 89 x 384 x 287 = 19617024

Least Common Multiple of 178,768,574 with GCF Formula

Least Common Multiple of 178,768,574 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 178,768,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(178,768,574) = 2

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

GCF(178,768,574) x common factors =2 x 2 = 4

LCM(178,768,574) = ( 178 × 768 × 574 ) / 4

LCM(178,768,574) = 78468096 / 4

LCM(178,768,574) = 19617024


Lets's calculate GCF of 14,36,137

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19617024/1

Therefore the LCM of Fractions 178/14,768/36,574/137 is 19617024

Greatest Common Factor of 14,36,137 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,36,137 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 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 137

List of positive integer factors of 137 that divides 137 without a remainder.

1,137

Greatest Common Factor

We found the factors 14,36,137 . The biggest common factor number is the GCF number.
So the greatest common factor 14,36,137 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 178/14, 768/36, 574/137

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 178/14, 768/36, 574/137?

Answer: LCM of Numerators as per given numbers 178/14, 768/36, 574/137 is

LCM of Numerators i.e. for 178,768,574 is 19617024

GCF of denominators i.e. for 14,36,137 is 1.

Thus, LCM of Fractions is 19617024.Finally, LCM of Fractions for 178/14, 768/36, 574/137 is 19617024.