Least Common Multiple of 696/48, 328/93, 455/888

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 696/48, 328/93, 455/888 quickly i.e. 4327960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 696/48, 328/93, 455/888 is 4327960.

LCM(696/48, 328/93, 455/888) = 4327960

LCM of 696/48, 328/93, 455/888

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 696/48,328/93,455/888

Given numbers are 696/48,328/93,455/888

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 696,328,455

Least Common Multiple of Numerators i.e. LCM of 696,328,455 is 12983880.

GCF of Denominators means GCF of 48,93,888 as per the given fractions.

GCF of 48,93,888 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 696,328,455

LCM of Fractions 696/48,328/93,455/888 is 4327960

2 696, 328, 455
2 348, 164, 455
2 174, 82, 455
87, 41, 455

∴ So the LCM of the given numbers is 2 x 2 x 2 x 87 x 41 x 455 = 12983880

Least Common Multiple of 696,328,455 with GCF Formula

Least Common Multiple of 696,328,455 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 696,328,455 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(696,328,455) = 1

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

GCF(696,328,455) x common factors =1 x 8 = 8

LCM(696,328,455) = ( 696 × 328 × 455 ) / 8

LCM(696,328,455) = 103871040 / 8

LCM(696,328,455) = 12983880


Lets's calculate GCF of 48,93,888

3 48, 93, 888
16, 31, 296

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12983880/3

Therefore the LCM of Fractions 696/48,328/93,455/888 is 4327960

Greatest Common Factor of 48,93,888 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,93,888 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 888

List of positive integer factors of 888 that divides 888 without a remainder.

1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888

Greatest Common Factor

We found the factors 48,93,888 . The biggest common factor number is the GCF number.
So the greatest common factor 48,93,888 is 3.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 696/48, 328/93, 455/888

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 696/48, 328/93, 455/888?

Answer: LCM of Numerators as per given numbers 696/48, 328/93, 455/888 is

LCM of Numerators i.e. for 696,328,455 is 12983880

GCF of denominators i.e. for 48,93,888 is 3.

Thus, LCM of Fractions is 4327960.Finally, LCM of Fractions for 696/48, 328/93, 455/888 is 4327960.