Least Common Multiple of 76/620, 69/254, 229/104

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/620, 69/254, 229/104 quickly i.e. 600438 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/620, 69/254, 229/104 is 600438.

LCM(76/620, 69/254, 229/104) = 600438

LCM of 76/620, 69/254, 229/104

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 76/620,69/254,229/104

Given numbers are 76/620,69/254,229/104

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 76,69,229

Least Common Multiple of Numerators i.e. LCM of 76,69,229 is 1200876.

GCF of Denominators means GCF of 620,254,104 as per the given fractions.

GCF of 620,254,104 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,69,229

LCM of Fractions 76/620,69/254,229/104 is 600438

Given numbers has no common factors except 1. So, there LCM is their product i.e 1200876

Least Common Multiple of 76,69,229 with GCF Formula

Least Common Multiple of 76,69,229 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 76,69,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,69,229) = 1

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

GCF(76,69,229) x common factors =1 x 1 = 1

LCM(76,69,229) = ( 76 × 69 × 229 ) / 1

LCM(76,69,229) = 1200876 / 1

LCM(76,69,229) = 1200876


Lets's calculate GCF of 620,254,104

2 620, 254, 104
310, 127, 52

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1200876/2

Therefore the LCM of Fractions 76/620,69/254,229/104 is 600438

Greatest Common Factor of 620,254,104 By Matching Biggest Common Factor Method

Greatest Common Factor of 620,254,104 By Matching Biggest Common Factor Method

Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1,2,4,5,10,20,31,62,124,155,310,620

Factors of 254

List of positive integer factors of 254 that divides 254 without a remainder.

1,2,127,254

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

1,2,4,8,13,26,52,104

Greatest Common Factor

We found the factors 620,254,104 . The biggest common factor number is the GCF number.
So the greatest common factor 620,254,104 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 76/620, 69/254, 229/104

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 76/620, 69/254, 229/104?

Answer: LCM of Numerators as per given numbers 76/620, 69/254, 229/104 is

LCM of Numerators i.e. for 76,69,229 is 1200876

GCF of denominators i.e. for 620,254,104 is 2.

Thus, LCM of Fractions is 600438.Finally, LCM of Fractions for 76/620, 69/254, 229/104 is 600438.