Least Common Multiple of 88/629, 14/966, 775/170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 88/629, 14/966, 775/170 quickly i.e. 477400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/629, 14/966, 775/170 is 477400.

LCM(88/629, 14/966, 775/170) = 477400

LCM of 88/629, 14/966, 775/170

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 88/629,14/966,775/170

Given numbers are 88/629,14/966,775/170

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 88,14,775

Least Common Multiple of Numerators i.e. LCM of 88,14,775 is 477400.

GCF of Denominators means GCF of 629,966,170 as per the given fractions.

GCF of 629,966,170 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,14,775

LCM of Fractions 88/629,14/966,775/170 is 477400

2 88, 14, 775
44, 7, 775

∴ So the LCM of the given numbers is 2 x 44 x 7 x 775 = 477400

Least Common Multiple of 88,14,775 with GCF Formula

Least Common Multiple of 88,14,775 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 88,14,775 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,14,775) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(88,14,775) x common factors =1 x 2 = 2

LCM(88,14,775) = ( 88 × 14 × 775 ) / 2

LCM(88,14,775) = 954800 / 2

LCM(88,14,775) = 477400


Lets's calculate GCF of 629,966,170

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 477400/1

Therefore the LCM of Fractions 88/629,14/966,775/170 is 477400

Greatest Common Factor of 629,966,170 By Matching Biggest Common Factor Method

Greatest Common Factor of 629,966,170 By Matching Biggest Common Factor Method

Factors of 629

List of positive integer factors of 629 that divides 629 without a remainder.

1,17,37,629

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Greatest Common Factor

We found the factors 629,966,170 . The biggest common factor number is the GCF number.
So the greatest common factor 629,966,170 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 88/629, 14/966, 775/170

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 88/629, 14/966, 775/170?

Answer: LCM of Numerators as per given numbers 88/629, 14/966, 775/170 is

LCM of Numerators i.e. for 88,14,775 is 477400

GCF of denominators i.e. for 629,966,170 is 1.

Thus, LCM of Fractions is 477400.Finally, LCM of Fractions for 88/629, 14/966, 775/170 is 477400.