Least Common Multiple of 1612/168, 1387/448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1612/168, 1387/448 quickly i.e. 2235844/56 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1612/168, 1387/448 is 2235844/56.

LCM(1612/168, 1387/448) = 2235844/56

LCM of 1612/168, 1387/448

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 1612/168,1387/448

Given numbers are 1612/168,1387/448

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 1612,1387

Least Common Multiple of Numerators i.e. LCM of 1612,1387 is 2235844.

GCF of Denominators means GCF of 168,448 as per the given fractions.

GCF of 168,448 is 56 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1612,1387

LCM of Fractions 1612/168,1387/448 is 2235844/56

Given numbers has no common factors except 1. So, there LCM is their product i.e 2235844

Least Common Multiple of 1612,1387 with GCF Formula

Least Common Multiple of 1612,1387 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 1612,1387 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1612,1387) = 1

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

GCF(1612,1387) x common factors =1 x 1 = 1

LCM(1612,1387) = ( 1612 × 1387 ) / 1

LCM(1612,1387) = 2235844 / 1

LCM(1612,1387) = 2235844


Lets's calculate GCF of 168,448

2 168, 448
2 84, 224
2 42, 112
7 21, 56
3, 8

∴ So the GCF of the given numbers is 2 x 2 x 2 x 7 = 56

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2235844/56

Therefore the LCM of Fractions 1612/168,1387/448 is 2235844/56

Greatest Common Factor of 168,448 By Matching Biggest Common Factor Method

Greatest Common Factor of 168,448 By Matching Biggest Common Factor Method

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Greatest Common Factor

We found the factors 168,448 . The biggest common factor number is the GCF number.
So the greatest common factor 168,448 is 56.


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 1612/168, 1387/448

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 1612/168, 1387/448?

Answer: LCM of Numerators as per given numbers 1612/168, 1387/448 is

LCM of Numerators i.e. for 1612,1387 is 2235844

GCF of denominators i.e. for 168,448 is 56.

Thus, LCM of Fractions is 2235844/56.Finally, LCM of Fractions for 1612/168, 1387/448 is 2235844/56.