Least Common Multiple of 374/85, 618/14, 300/533

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 374/85, 618/14, 300/533 quickly i.e. 5778300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 374/85, 618/14, 300/533 is 5778300.

LCM(374/85, 618/14, 300/533) = 5778300

LCM of 374/85, 618/14, 300/533

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 374/85,618/14,300/533

Given numbers are 374/85,618/14,300/533

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 374,618,300

Least Common Multiple of Numerators i.e. LCM of 374,618,300 is 5778300.

GCF of Denominators means GCF of 85,14,533 as per the given fractions.

GCF of 85,14,533 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 374,618,300

LCM of Fractions 374/85,618/14,300/533 is 5778300

2 374, 618, 300
3 187, 309, 150
187, 103, 50

∴ So the LCM of the given numbers is 2 x 3 x 187 x 103 x 50 = 5778300

Least Common Multiple of 374,618,300 with GCF Formula

Least Common Multiple of 374,618,300 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 374,618,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(374,618,300) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(374,618,300) x common factors =2 x 6 = 12

LCM(374,618,300) = ( 374 × 618 × 300 ) / 12

LCM(374,618,300) = 69339600 / 12

LCM(374,618,300) = 5778300


Lets's calculate GCF of 85,14,533

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5778300/1

Therefore the LCM of Fractions 374/85,618/14,300/533 is 5778300

Greatest Common Factor of 85,14,533 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,14,533 By Matching Biggest Common Factor Method

Factors of 85

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

1,5,17,85

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 533

List of positive integer factors of 533 that divides 533 without a remainder.

1,13,41,533

Greatest Common Factor

We found the factors 85,14,533 . The biggest common factor number is the GCF number.
So the greatest common factor 85,14,533 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 374/85, 618/14, 300/533

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 374/85, 618/14, 300/533?

Answer: LCM of Numerators as per given numbers 374/85, 618/14, 300/533 is

LCM of Numerators i.e. for 374,618,300 is 5778300

GCF of denominators i.e. for 85,14,533 is 1.

Thus, LCM of Fractions is 5778300.Finally, LCM of Fractions for 374/85, 618/14, 300/533 is 5778300.