Least Common Multiple of 88/28, 952/70, 986/512

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 88/28, 952/70, 986/512 quickly i.e. 151844 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/28, 952/70, 986/512 is 151844.

LCM(88/28, 952/70, 986/512) = 151844

LCM of 88/28, 952/70, 986/512

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 88/28,952/70,986/512

Given numbers are 88/28,952/70,986/512

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 88,952,986

Least Common Multiple of Numerators i.e. LCM of 88,952,986 is 303688.

GCF of Denominators means GCF of 28,70,512 as per the given fractions.

GCF of 28,70,512 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,952,986

LCM of Fractions 88/28,952/70,986/512 is 151844

2 88, 952, 986
2 44, 476, 493
2 22, 238, 493
17 11, 119, 493
11, 7, 29

∴ So the LCM of the given numbers is 2 x 2 x 2 x 17 x 11 x 7 x 29 = 303688

Least Common Multiple of 88,952,986 with GCF Formula

Least Common Multiple of 88,952,986 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 88,952,986 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,952,986) = 2

common factors(in case of two or more numbers have common factors) = 136

GCF(88,952,986) x common factors =2 x 136 = 272

LCM(88,952,986) = ( 88 × 952 × 986 ) / 272

LCM(88,952,986) = 82603136 / 272

LCM(88,952,986) = 303688


Lets's calculate GCF of 28,70,512

2 28, 70, 512
14, 35, 256

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 303688/2

Therefore the LCM of Fractions 88/28,952/70,986/512 is 151844

Greatest Common Factor of 28,70,512 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,70,512 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Greatest Common Factor

We found the factors 28,70,512 . The biggest common factor number is the GCF number.
So the greatest common factor 28,70,512 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 88/28, 952/70, 986/512

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 88/28, 952/70, 986/512?

Answer: LCM of Numerators as per given numbers 88/28, 952/70, 986/512 is

LCM of Numerators i.e. for 88,952,986 is 303688

GCF of denominators i.e. for 28,70,512 is 2.

Thus, LCM of Fractions is 151844.Finally, LCM of Fractions for 88/28, 952/70, 986/512 is 151844.