Least Common Multiple of 670/832, 3250/214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 670/832, 3250/214 quickly i.e. 108875 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 670/832, 3250/214 is 108875.

LCM(670/832, 3250/214) = 108875

LCM of 670/832, 3250/214

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 670/832,3250/214

Given numbers are 670/832,3250/214

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 670,3250

Least Common Multiple of Numerators i.e. LCM of 670,3250 is 217750.

GCF of Denominators means GCF of 832,214 as per the given fractions.

GCF of 832,214 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 670,3250

LCM of Fractions 670/832,3250/214 is 108875

2 670, 3250
5 335, 1625
67, 325

∴ So the LCM of the given numbers is 2 x 5 x 67 x 325 = 217750

Least Common Multiple of 670,3250 with GCF Formula

Least Common Multiple of 670,3250 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 670,3250 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(670,3250) = 10

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

GCF(670,3250) x common factors =10 x 1 = 10

LCM(670,3250) = ( 670 × 3250 ) / 10

LCM(670,3250) = 2177500 / 10

LCM(670,3250) = 217750


Lets's calculate GCF of 832,214

2 832, 214
416, 107

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 217750/2

Therefore the LCM of Fractions 670/832,3250/214 is 108875

Greatest Common Factor of 832,214 By Matching Biggest Common Factor Method

Greatest Common Factor of 832,214 By Matching Biggest Common Factor Method

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Greatest Common Factor

We found the factors 832,214 . The biggest common factor number is the GCF number.
So the greatest common factor 832,214 is 2.


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 670/832, 3250/214

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 670/832, 3250/214?

Answer: LCM of Numerators as per given numbers 670/832, 3250/214 is

LCM of Numerators i.e. for 670,3250 is 217750

GCF of denominators i.e. for 832,214 is 2.

Thus, LCM of Fractions is 108875.Finally, LCM of Fractions for 670/832, 3250/214 is 108875.