Least Common Multiple of 76/889, 22/830, 627/234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/889, 22/830, 627/234 quickly i.e. 2508 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/889, 22/830, 627/234 is 2508.

LCM(76/889, 22/830, 627/234) = 2508

LCM of 76/889, 22/830, 627/234

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 76/889,22/830,627/234

Given numbers are 76/889,22/830,627/234

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 76,22,627

Least Common Multiple of Numerators i.e. LCM of 76,22,627 is 2508.

GCF of Denominators means GCF of 889,830,234 as per the given fractions.

GCF of 889,830,234 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,22,627

LCM of Fractions 76/889,22/830,627/234 is 2508

2 76, 22, 627
11 38, 11, 627
19 38, 1, 57
2, 1, 3

∴ So the LCM of the given numbers is 2 x 11 x 19 x 2 x 1 x 3 = 2508

Least Common Multiple of 76,22,627 with GCF Formula

Least Common Multiple of 76,22,627 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 76,22,627 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,22,627) = 1

common factors(in case of two or more numbers have common factors) = 418

GCF(76,22,627) x common factors =1 x 418 = 418

LCM(76,22,627) = ( 76 × 22 × 627 ) / 418

LCM(76,22,627) = 1048344 / 418

LCM(76,22,627) = 2508


Lets's calculate GCF of 889,830,234

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2508/1

Therefore the LCM of Fractions 76/889,22/830,627/234 is 2508

Greatest Common Factor of 889,830,234 By Matching Biggest Common Factor Method

Greatest Common Factor of 889,830,234 By Matching Biggest Common Factor Method

Factors of 889

List of positive integer factors of 889 that divides 889 without a remainder.

1,7,127,889

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,234

Greatest Common Factor

We found the factors 889,830,234 . The biggest common factor number is the GCF number.
So the greatest common factor 889,830,234 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 76/889, 22/830, 627/234

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 76/889, 22/830, 627/234?

Answer: LCM of Numerators as per given numbers 76/889, 22/830, 627/234 is

LCM of Numerators i.e. for 76,22,627 is 2508

GCF of denominators i.e. for 889,830,234 is 1.

Thus, LCM of Fractions is 2508.Finally, LCM of Fractions for 76/889, 22/830, 627/234 is 2508.