Least Common Multiple of 414/93, 664/1674

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 414/93, 664/1674 quickly i.e. 137448/93 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 414/93, 664/1674 is 137448/93.

LCM(414/93, 664/1674) = 137448/93

LCM of 414/93, 664/1674

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 414/93,664/1674

Given numbers are 414/93,664/1674

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 414,664

Least Common Multiple of Numerators i.e. LCM of 414,664 is 137448.

GCF of Denominators means GCF of 93,1674 as per the given fractions.

GCF of 93,1674 is 93 as it is the largest common factor for these numbers.

Lets's calculate LCM of 414,664

LCM of Fractions 414/93,664/1674 is 137448/93

2 414, 664
207, 332

∴ So the LCM of the given numbers is 2 x 207 x 332 = 137448

Least Common Multiple of 414,664 with GCF Formula

Least Common Multiple of 414,664 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 414,664 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(414,664) = 2

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

GCF(414,664) x common factors =2 x 1 = 2

LCM(414,664) = ( 414 × 664 ) / 2

LCM(414,664) = 274896 / 2

LCM(414,664) = 137448


Lets's calculate GCF of 93,1674

3 93, 1674
31 31, 558
1, 18

∴ So the GCF of the given numbers is 3 x 31 = 93

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 137448/93

Therefore the LCM of Fractions 414/93,664/1674 is 137448/93

Greatest Common Factor of 93,1674 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,1674 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 1674

List of positive integer factors of 1674 that divides 1674 without a remainder.

1,2,3,6,9,18,27,31,54,62,93,186,279,558,837,1674

Greatest Common Factor

We found the factors 93,1674 . The biggest common factor number is the GCF number.
So the greatest common factor 93,1674 is 93.


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 414/93, 664/1674

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 414/93, 664/1674?

Answer: LCM of Numerators as per given numbers 414/93, 664/1674 is

LCM of Numerators i.e. for 414,664 is 137448

GCF of denominators i.e. for 93,1674 is 93.

Thus, LCM of Fractions is 137448/93.Finally, LCM of Fractions for 414/93, 664/1674 is 137448/93.