Least Common Multiple of 457/74, 368/85, 445/678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 457/74, 368/85, 445/678 quickly i.e. 74838320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 457/74, 368/85, 445/678 is 74838320.

LCM(457/74, 368/85, 445/678) = 74838320

LCM of 457/74, 368/85, 445/678

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 457/74,368/85,445/678

Given numbers are 457/74,368/85,445/678

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 457,368,445

Least Common Multiple of Numerators i.e. LCM of 457,368,445 is 74838320.

GCF of Denominators means GCF of 74,85,678 as per the given fractions.

GCF of 74,85,678 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 457,368,445

LCM of Fractions 457/74,368/85,445/678 is 74838320

Given numbers has no common factors except 1. So, there LCM is their product i.e 74838320

Least Common Multiple of 457,368,445 with GCF Formula

Least Common Multiple of 457,368,445 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 457,368,445 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(457,368,445) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(457,368,445) x common factors =1 x 1 = 1

LCM(457,368,445) = ( 457 × 368 × 445 ) / 1

LCM(457,368,445) = 74838320 / 1

LCM(457,368,445) = 74838320


Lets's calculate GCF of 74,85,678

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74838320/1

Therefore the LCM of Fractions 457/74,368/85,445/678 is 74838320

Greatest Common Factor of 74,85,678 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,85,678 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Greatest Common Factor

We found the factors 74,85,678 . The biggest common factor number is the GCF number.
So the greatest common factor 74,85,678 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 457/74, 368/85, 445/678

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 457/74, 368/85, 445/678?

Answer: LCM of Numerators as per given numbers 457/74, 368/85, 445/678 is

LCM of Numerators i.e. for 457,368,445 is 74838320

GCF of denominators i.e. for 74,85,678 is 1.

Thus, LCM of Fractions is 74838320.Finally, LCM of Fractions for 457/74, 368/85, 445/678 is 74838320.