Least Common Multiple of 22/826, 776/776, 272/690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/826, 776/776, 272/690 quickly i.e. 145112 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/826, 776/776, 272/690 is 145112.

LCM(22/826, 776/776, 272/690) = 145112

LCM of 22/826, 776/776, 272/690

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 22/826,776/776,272/690

Given numbers are 22/826,776/776,272/690

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 22,776,272

Least Common Multiple of Numerators i.e. LCM of 22,776,272 is 290224.

GCF of Denominators means GCF of 826,776,690 as per the given fractions.

GCF of 826,776,690 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,776,272

LCM of Fractions 22/826,776/776,272/690 is 145112

2 22, 776, 272
2 11, 388, 136
2 11, 194, 68
11, 97, 34

∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 97 x 34 = 290224

Least Common Multiple of 22,776,272 with GCF Formula

Least Common Multiple of 22,776,272 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 22,776,272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,776,272) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(22,776,272) x common factors =2 x 8 = 16

LCM(22,776,272) = ( 22 × 776 × 272 ) / 16

LCM(22,776,272) = 4643584 / 16

LCM(22,776,272) = 290224


Lets's calculate GCF of 826,776,690

2 826, 776, 690
413, 388, 345

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 290224/2

Therefore the LCM of Fractions 22/826,776/776,272/690 is 145112

Greatest Common Factor of 826,776,690 By Matching Biggest Common Factor Method

Greatest Common Factor of 826,776,690 By Matching Biggest Common Factor Method

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Factors of 776

List of positive integer factors of 776 that divides 776 without a remainder.

1,2,4,8,97,194,388,776

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Greatest Common Factor

We found the factors 826,776,690 . The biggest common factor number is the GCF number.
So the greatest common factor 826,776,690 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 22/826, 776/776, 272/690

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 22/826, 776/776, 272/690?

Answer: LCM of Numerators as per given numbers 22/826, 776/776, 272/690 is

LCM of Numerators i.e. for 22,776,272 is 290224

GCF of denominators i.e. for 826,776,690 is 2.

Thus, LCM of Fractions is 145112.Finally, LCM of Fractions for 22/826, 776/776, 272/690 is 145112.