Least Common Multiple of 600/788, 217/914

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 600/788, 217/914 quickly i.e. 65100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 600/788, 217/914 is 65100.

LCM(600/788, 217/914) = 65100

LCM of 600/788, 217/914

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 600/788,217/914

Given numbers are 600/788,217/914

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 600,217

Least Common Multiple of Numerators i.e. LCM of 600,217 is 130200.

GCF of Denominators means GCF of 788,914 as per the given fractions.

GCF of 788,914 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 600,217

LCM of Fractions 600/788,217/914 is 65100

Given numbers has no common factors except 1. So, there LCM is their product i.e 130200

Least Common Multiple of 600,217 with GCF Formula

Least Common Multiple of 600,217 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 600,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(600,217) = 1

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

GCF(600,217) x common factors =1 x 1 = 1

LCM(600,217) = ( 600 × 217 ) / 1

LCM(600,217) = 130200 / 1

LCM(600,217) = 130200


Lets's calculate GCF of 788,914

2 788, 914
394, 457

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 130200/2

Therefore the LCM of Fractions 600/788,217/914 is 65100

Greatest Common Factor of 788,914 By Matching Biggest Common Factor Method

Greatest Common Factor of 788,914 By Matching Biggest Common Factor Method

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1,2,457,914

Greatest Common Factor

We found the factors 788,914 . The biggest common factor number is the GCF number.
So the greatest common factor 788,914 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 600/788, 217/914

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 600/788, 217/914?

Answer: LCM of Numerators as per given numbers 600/788, 217/914 is

LCM of Numerators i.e. for 600,217 is 130200

GCF of denominators i.e. for 788,914 is 2.

Thus, LCM of Fractions is 65100.Finally, LCM of Fractions for 600/788, 217/914 is 65100.