Least Common Multiple of 629/314, 269/146, 508/714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 629/314, 269/146, 508/714 quickly i.e. 42977054 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 629/314, 269/146, 508/714 is 42977054.

LCM(629/314, 269/146, 508/714) = 42977054

LCM of 629/314, 269/146, 508/714

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 629/314,269/146,508/714

Given numbers are 629/314,269/146,508/714

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 629,269,508

Least Common Multiple of Numerators i.e. LCM of 629,269,508 is 85954108.

GCF of Denominators means GCF of 314,146,714 as per the given fractions.

GCF of 314,146,714 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 629,269,508

LCM of Fractions 629/314,269/146,508/714 is 42977054

Given numbers has no common factors except 1. So, there LCM is their product i.e 85954108

Least Common Multiple of 629,269,508 with GCF Formula

Least Common Multiple of 629,269,508 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 629,269,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(629,269,508) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(629,269,508) x common factors =1 x 1 = 1

LCM(629,269,508) = ( 629 × 269 × 508 ) / 1

LCM(629,269,508) = 85954108 / 1

LCM(629,269,508) = 85954108


Lets's calculate GCF of 314,146,714

2 314, 146, 714
157, 73, 357

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 85954108/2

Therefore the LCM of Fractions 629/314,269/146,508/714 is 42977054

Greatest Common Factor of 314,146,714 By Matching Biggest Common Factor Method

Greatest Common Factor of 314,146,714 By Matching Biggest Common Factor Method

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Greatest Common Factor

We found the factors 314,146,714 . The biggest common factor number is the GCF number.
So the greatest common factor 314,146,714 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 629/314, 269/146, 508/714

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 629/314, 269/146, 508/714?

Answer: LCM of Numerators as per given numbers 629/314, 269/146, 508/714 is

LCM of Numerators i.e. for 629,269,508 is 85954108

GCF of denominators i.e. for 314,146,714 is 2.

Thus, LCM of Fractions is 42977054.Finally, LCM of Fractions for 629/314, 269/146, 508/714 is 42977054.