Least Common Multiple of 923/35, 500/78, 884/208

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 923/35, 500/78, 884/208 quickly i.e. 7845500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 923/35, 500/78, 884/208 is 7845500.

LCM(923/35, 500/78, 884/208) = 7845500

LCM of 923/35, 500/78, 884/208

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 923/35,500/78,884/208

Given numbers are 923/35,500/78,884/208

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 923,500,884

Least Common Multiple of Numerators i.e. LCM of 923,500,884 is 7845500.

GCF of Denominators means GCF of 35,78,208 as per the given fractions.

GCF of 35,78,208 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 923,500,884

LCM of Fractions 923/35,500/78,884/208 is 7845500

2 923, 500, 884
2 923, 250, 442
13 923, 125, 221
71, 125, 17

∴ So the LCM of the given numbers is 2 x 2 x 13 x 71 x 125 x 17 = 7845500

Least Common Multiple of 923,500,884 with GCF Formula

Least Common Multiple of 923,500,884 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 923,500,884 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(923,500,884) = 1

common factors(in case of two or more numbers have common factors) = 52

GCF(923,500,884) x common factors =1 x 52 = 52

LCM(923,500,884) = ( 923 × 500 × 884 ) / 52

LCM(923,500,884) = 407966000 / 52

LCM(923,500,884) = 7845500


Lets's calculate GCF of 35,78,208

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7845500/1

Therefore the LCM of Fractions 923/35,500/78,884/208 is 7845500

Greatest Common Factor of 35,78,208 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,78,208 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Greatest Common Factor

We found the factors 35,78,208 . The biggest common factor number is the GCF number.
So the greatest common factor 35,78,208 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 923/35, 500/78, 884/208

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 923/35, 500/78, 884/208?

Answer: LCM of Numerators as per given numbers 923/35, 500/78, 884/208 is

LCM of Numerators i.e. for 923,500,884 is 7845500

GCF of denominators i.e. for 35,78,208 is 1.

Thus, LCM of Fractions is 7845500.Finally, LCM of Fractions for 923/35, 500/78, 884/208 is 7845500.