Least Common Multiple of 280/46, 369/76, 378/178

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 280/46, 369/76, 378/178 quickly i.e. 154980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 280/46, 369/76, 378/178 is 154980.

LCM(280/46, 369/76, 378/178) = 154980

LCM of 280/46, 369/76, 378/178

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 280/46,369/76,378/178

Given numbers are 280/46,369/76,378/178

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 280,369,378

Least Common Multiple of Numerators i.e. LCM of 280,369,378 is 309960.

GCF of Denominators means GCF of 46,76,178 as per the given fractions.

GCF of 46,76,178 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 280,369,378

LCM of Fractions 280/46,369/76,378/178 is 154980

2 280, 369, 378
3 140, 369, 189
3 140, 123, 63
7 140, 41, 21
20, 41, 3

∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 20 x 41 x 3 = 309960

Least Common Multiple of 280,369,378 with GCF Formula

Least Common Multiple of 280,369,378 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 280,369,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(280,369,378) = 1

common factors(in case of two or more numbers have common factors) = 126

GCF(280,369,378) x common factors =1 x 126 = 126

LCM(280,369,378) = ( 280 × 369 × 378 ) / 126

LCM(280,369,378) = 39054960 / 126

LCM(280,369,378) = 309960


Lets's calculate GCF of 46,76,178

2 46, 76, 178
23, 38, 89

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 309960/2

Therefore the LCM of Fractions 280/46,369/76,378/178 is 154980

Greatest Common Factor of 46,76,178 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,76,178 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 178

List of positive integer factors of 178 that divides 178 without a remainder.

1,2,89,178

Greatest Common Factor

We found the factors 46,76,178 . The biggest common factor number is the GCF number.
So the greatest common factor 46,76,178 is 2.


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 280/46, 369/76, 378/178

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 280/46, 369/76, 378/178?

Answer: LCM of Numerators as per given numbers 280/46, 369/76, 378/178 is

LCM of Numerators i.e. for 280,369,378 is 309960

GCF of denominators i.e. for 46,76,178 is 2.

Thus, LCM of Fractions is 154980.Finally, LCM of Fractions for 280/46, 369/76, 378/178 is 154980.