Least Common Multiple of 684/933, 1700/987

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 684/933, 1700/987 quickly i.e. 96900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 684/933, 1700/987 is 96900.

LCM(684/933, 1700/987) = 96900

LCM of 684/933, 1700/987

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 684/933,1700/987

Given numbers are 684/933,1700/987

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 684,1700

Least Common Multiple of Numerators i.e. LCM of 684,1700 is 290700.

GCF of Denominators means GCF of 933,987 as per the given fractions.

GCF of 933,987 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 684,1700

LCM of Fractions 684/933,1700/987 is 96900

2 684, 1700
2 342, 850
171, 425

∴ So the LCM of the given numbers is 2 x 2 x 171 x 425 = 290700

Least Common Multiple of 684,1700 with GCF Formula

Least Common Multiple of 684,1700 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 684,1700 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(684,1700) = 4

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

GCF(684,1700) x common factors =4 x 1 = 4

LCM(684,1700) = ( 684 × 1700 ) / 4

LCM(684,1700) = 1162800 / 4

LCM(684,1700) = 290700


Lets's calculate GCF of 933,987

3 933, 987
311, 329

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 290700/3

Therefore the LCM of Fractions 684/933,1700/987 is 96900

Greatest Common Factor of 933,987 By Matching Biggest Common Factor Method

Greatest Common Factor of 933,987 By Matching Biggest Common Factor Method

Factors of 933

List of positive integer factors of 933 that divides 933 without a remainder.

1,3,311,933

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Greatest Common Factor

We found the factors 933,987 . The biggest common factor number is the GCF number.
So the greatest common factor 933,987 is 3.


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 684/933, 1700/987

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 684/933, 1700/987?

Answer: LCM of Numerators as per given numbers 684/933, 1700/987 is

LCM of Numerators i.e. for 684,1700 is 290700

GCF of denominators i.e. for 933,987 is 3.

Thus, LCM of Fractions is 96900.Finally, LCM of Fractions for 684/933, 1700/987 is 96900.