Least Common Multiple of 658/26, 2832/700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 658/26, 2832/700 quickly i.e. 465864 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 658/26, 2832/700 is 465864.

LCM(658/26, 2832/700) = 465864

LCM of 658/26, 2832/700

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 658/26,2832/700

Given numbers are 658/26,2832/700

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 658,2832

Least Common Multiple of Numerators i.e. LCM of 658,2832 is 931728.

GCF of Denominators means GCF of 26,700 as per the given fractions.

GCF of 26,700 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 658,2832

LCM of Fractions 658/26,2832/700 is 465864

2 658, 2832
329, 1416

∴ So the LCM of the given numbers is 2 x 329 x 1416 = 931728

Least Common Multiple of 658,2832 with GCF Formula

Least Common Multiple of 658,2832 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 658,2832 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(658,2832) = 2

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

GCF(658,2832) x common factors =2 x 1 = 2

LCM(658,2832) = ( 658 × 2832 ) / 2

LCM(658,2832) = 1863456 / 2

LCM(658,2832) = 931728


Lets's calculate GCF of 26,700

2 26, 700
13, 350

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 931728/2

Therefore the LCM of Fractions 658/26,2832/700 is 465864

Greatest Common Factor of 26,700 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,700 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Greatest Common Factor

We found the factors 26,700 . The biggest common factor number is the GCF number.
So the greatest common factor 26,700 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 658/26, 2832/700

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 658/26, 2832/700?

Answer: LCM of Numerators as per given numbers 658/26, 2832/700 is

LCM of Numerators i.e. for 658,2832 is 931728

GCF of denominators i.e. for 26,700 is 2.

Thus, LCM of Fractions is 465864.Finally, LCM of Fractions for 658/26, 2832/700 is 465864.