Least Common Multiple of 284/967, 2158/1670

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 284/967, 2158/1670 quickly i.e. 306436 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 284/967, 2158/1670 is 306436.

LCM(284/967, 2158/1670) = 306436

LCM of 284/967, 2158/1670

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 284/967,2158/1670

Given numbers are 284/967,2158/1670

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 284,2158

Least Common Multiple of Numerators i.e. LCM of 284,2158 is 306436.

GCF of Denominators means GCF of 967,1670 as per the given fractions.

GCF of 967,1670 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 284,2158

LCM of Fractions 284/967,2158/1670 is 306436

2 284, 2158
142, 1079

∴ So the LCM of the given numbers is 2 x 142 x 1079 = 306436

Least Common Multiple of 284,2158 with GCF Formula

Least Common Multiple of 284,2158 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 284,2158 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(284,2158) = 2

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

GCF(284,2158) x common factors =2 x 1 = 2

LCM(284,2158) = ( 284 × 2158 ) / 2

LCM(284,2158) = 612872 / 2

LCM(284,2158) = 306436


Lets's calculate GCF of 967,1670

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 306436/1

Therefore the LCM of Fractions 284/967,2158/1670 is 306436

Greatest Common Factor of 967,1670 By Matching Biggest Common Factor Method

Greatest Common Factor of 967,1670 By Matching Biggest Common Factor Method

Factors of 967

List of positive integer factors of 967 that divides 967 without a remainder.

1,967

Factors of 1670

List of positive integer factors of 1670 that divides 1670 without a remainder.

1,2,5,10,167,334,835,1670

Greatest Common Factor

We found the factors 967,1670 . The biggest common factor number is the GCF number.
So the greatest common factor 967,1670 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 284/967, 2158/1670

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 284/967, 2158/1670?

Answer: LCM of Numerators as per given numbers 284/967, 2158/1670 is

LCM of Numerators i.e. for 284,2158 is 306436

GCF of denominators i.e. for 967,1670 is 1.

Thus, LCM of Fractions is 306436.Finally, LCM of Fractions for 284/967, 2158/1670 is 306436.