Least Common Multiple of 84/560, 88/936, 911/408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/560, 88/936, 911/408 quickly i.e. 210441 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/560, 88/936, 911/408 is 210441.

LCM(84/560, 88/936, 911/408) = 210441

LCM of 84/560, 88/936, 911/408

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 84/560,88/936,911/408

Given numbers are 84/560,88/936,911/408

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 84,88,911

Least Common Multiple of Numerators i.e. LCM of 84,88,911 is 1683528.

GCF of Denominators means GCF of 560,936,408 as per the given fractions.

GCF of 560,936,408 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,88,911

LCM of Fractions 84/560,88/936,911/408 is 210441

2 84, 88, 911
2 42, 44, 911
21, 22, 911

∴ So the LCM of the given numbers is 2 x 2 x 21 x 22 x 911 = 1683528

Least Common Multiple of 84,88,911 with GCF Formula

Least Common Multiple of 84,88,911 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 84,88,911 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,88,911) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(84,88,911) x common factors =1 x 4 = 4

LCM(84,88,911) = ( 84 × 88 × 911 ) / 4

LCM(84,88,911) = 6734112 / 4

LCM(84,88,911) = 1683528


Lets's calculate GCF of 560,936,408

2 560, 936, 408
2 280, 468, 204
2 140, 234, 102
70, 117, 51

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1683528/8

Therefore the LCM of Fractions 84/560,88/936,911/408 is 210441

Greatest Common Factor of 560,936,408 By Matching Biggest Common Factor Method

Greatest Common Factor of 560,936,408 By Matching Biggest Common Factor Method

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Greatest Common Factor

We found the factors 560,936,408 . The biggest common factor number is the GCF number.
So the greatest common factor 560,936,408 is 8.


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 84/560, 88/936, 911/408

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 84/560, 88/936, 911/408?

Answer: LCM of Numerators as per given numbers 84/560, 88/936, 911/408 is

LCM of Numerators i.e. for 84,88,911 is 1683528

GCF of denominators i.e. for 560,936,408 is 8.

Thus, LCM of Fractions is 210441.Finally, LCM of Fractions for 84/560, 88/936, 911/408 is 210441.