Least Common Multiple of 88/496, 352/279, 842/759

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 88/496, 352/279, 842/759 quickly i.e. 148192 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/496, 352/279, 842/759 is 148192.

LCM(88/496, 352/279, 842/759) = 148192

LCM of 88/496, 352/279, 842/759

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 88/496,352/279,842/759

Given numbers are 88/496,352/279,842/759

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 88,352,842

Least Common Multiple of Numerators i.e. LCM of 88,352,842 is 148192.

GCF of Denominators means GCF of 496,279,759 as per the given fractions.

GCF of 496,279,759 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,352,842

LCM of Fractions 88/496,352/279,842/759 is 148192

2 88, 352, 842
2 44, 176, 421
2 22, 88, 421
11 11, 44, 421
1, 4, 421

∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 1 x 4 x 421 = 148192

Least Common Multiple of 88,352,842 with GCF Formula

Least Common Multiple of 88,352,842 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 88,352,842 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,352,842) = 2

common factors(in case of two or more numbers have common factors) = 88

GCF(88,352,842) x common factors =2 x 88 = 176

LCM(88,352,842) = ( 88 × 352 × 842 ) / 176

LCM(88,352,842) = 26081792 / 176

LCM(88,352,842) = 148192


Lets's calculate GCF of 496,279,759

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 148192/1

Therefore the LCM of Fractions 88/496,352/279,842/759 is 148192

Greatest Common Factor of 496,279,759 By Matching Biggest Common Factor Method

Greatest Common Factor of 496,279,759 By Matching Biggest Common Factor Method

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

Greatest Common Factor

We found the factors 496,279,759 . The biggest common factor number is the GCF number.
So the greatest common factor 496,279,759 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 88/496, 352/279, 842/759

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 88/496, 352/279, 842/759?

Answer: LCM of Numerators as per given numbers 88/496, 352/279, 842/759 is

LCM of Numerators i.e. for 88,352,842 is 148192

GCF of denominators i.e. for 496,279,759 is 1.

Thus, LCM of Fractions is 148192.Finally, LCM of Fractions for 88/496, 352/279, 842/759 is 148192.