Least Common Multiple of 351/88, 275/86, 264/816

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 351/88, 275/86, 264/816 quickly i.e. 386100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 351/88, 275/86, 264/816 is 386100.

LCM(351/88, 275/86, 264/816) = 386100

LCM of 351/88, 275/86, 264/816

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 351/88,275/86,264/816

Given numbers are 351/88,275/86,264/816

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 351,275,264

Least Common Multiple of Numerators i.e. LCM of 351,275,264 is 772200.

GCF of Denominators means GCF of 88,86,816 as per the given fractions.

GCF of 88,86,816 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 351,275,264

LCM of Fractions 351/88,275/86,264/816 is 386100

3 351, 275, 264
11 117, 275, 88
117, 25, 8

∴ So the LCM of the given numbers is 3 x 11 x 117 x 25 x 8 = 772200

Least Common Multiple of 351,275,264 with GCF Formula

Least Common Multiple of 351,275,264 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 351,275,264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(351,275,264) = 1

common factors(in case of two or more numbers have common factors) = 33

GCF(351,275,264) x common factors =1 x 33 = 33

LCM(351,275,264) = ( 351 × 275 × 264 ) / 33

LCM(351,275,264) = 25482600 / 33

LCM(351,275,264) = 772200


Lets's calculate GCF of 88,86,816

2 88, 86, 816
44, 43, 408

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 772200/2

Therefore the LCM of Fractions 351/88,275/86,264/816 is 386100

Greatest Common Factor of 88,86,816 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,86,816 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Greatest Common Factor

We found the factors 88,86,816 . The biggest common factor number is the GCF number.
So the greatest common factor 88,86,816 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 351/88, 275/86, 264/816

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 351/88, 275/86, 264/816?

Answer: LCM of Numerators as per given numbers 351/88, 275/86, 264/816 is

LCM of Numerators i.e. for 351,275,264 is 772200

GCF of denominators i.e. for 88,86,816 is 2.

Thus, LCM of Fractions is 386100.Finally, LCM of Fractions for 351/88, 275/86, 264/816 is 386100.