Least Common Multiple of 88/828, 52/510, 984/807

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 88/828, 52/510, 984/807 quickly i.e. 46904 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/828, 52/510, 984/807 is 46904.

LCM(88/828, 52/510, 984/807) = 46904

LCM of 88/828, 52/510, 984/807

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 88/828,52/510,984/807

Given numbers are 88/828,52/510,984/807

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 88,52,984

Least Common Multiple of Numerators i.e. LCM of 88,52,984 is 140712.

GCF of Denominators means GCF of 828,510,807 as per the given fractions.

GCF of 828,510,807 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,52,984

LCM of Fractions 88/828,52/510,984/807 is 46904

2 88, 52, 984
2 44, 26, 492
2 22, 13, 246
11, 13, 123

∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 13 x 123 = 140712

Least Common Multiple of 88,52,984 with GCF Formula

Least Common Multiple of 88,52,984 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 88,52,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,52,984) = 4

common factors(in case of two or more numbers have common factors) = 8

GCF(88,52,984) x common factors =4 x 8 = 32

LCM(88,52,984) = ( 88 × 52 × 984 ) / 32

LCM(88,52,984) = 4502784 / 32

LCM(88,52,984) = 140712


Lets's calculate GCF of 828,510,807

3 828, 510, 807
276, 170, 269

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 140712/3

Therefore the LCM of Fractions 88/828,52/510,984/807 is 46904

Greatest Common Factor of 828,510,807 By Matching Biggest Common Factor Method

Greatest Common Factor of 828,510,807 By Matching Biggest Common Factor Method

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Factors of 807

List of positive integer factors of 807 that divides 807 without a remainder.

1,3,269,807

Greatest Common Factor

We found the factors 828,510,807 . The biggest common factor number is the GCF number.
So the greatest common factor 828,510,807 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 88/828, 52/510, 984/807

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 88/828, 52/510, 984/807?

Answer: LCM of Numerators as per given numbers 88/828, 52/510, 984/807 is

LCM of Numerators i.e. for 88,52,984 is 140712

GCF of denominators i.e. for 828,510,807 is 3.

Thus, LCM of Fractions is 46904.Finally, LCM of Fractions for 88/828, 52/510, 984/807 is 46904.