Least Common Multiple of 22/346, 374/632, 269/769

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/346, 374/632, 269/769 quickly i.e. 100606 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/346, 374/632, 269/769 is 100606.

LCM(22/346, 374/632, 269/769) = 100606

LCM of 22/346, 374/632, 269/769

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 22/346,374/632,269/769

Given numbers are 22/346,374/632,269/769

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 22,374,269

Least Common Multiple of Numerators i.e. LCM of 22,374,269 is 100606.

GCF of Denominators means GCF of 346,632,769 as per the given fractions.

GCF of 346,632,769 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,374,269

LCM of Fractions 22/346,374/632,269/769 is 100606

2 22, 374, 269
11 11, 187, 269
1, 17, 269

∴ So the LCM of the given numbers is 2 x 11 x 1 x 17 x 269 = 100606

Least Common Multiple of 22,374,269 with GCF Formula

Least Common Multiple of 22,374,269 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 22,374,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,374,269) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(22,374,269) x common factors =1 x 22 = 22

LCM(22,374,269) = ( 22 × 374 × 269 ) / 22

LCM(22,374,269) = 2213332 / 22

LCM(22,374,269) = 100606


Lets's calculate GCF of 346,632,769

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 100606/1

Therefore the LCM of Fractions 22/346,374/632,269/769 is 100606

Greatest Common Factor of 346,632,769 By Matching Biggest Common Factor Method

Greatest Common Factor of 346,632,769 By Matching Biggest Common Factor Method

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Factors of 632

List of positive integer factors of 632 that divides 632 without a remainder.

1,2,4,8,79,158,316,632

Factors of 769

List of positive integer factors of 769 that divides 769 without a remainder.

1,769

Greatest Common Factor

We found the factors 346,632,769 . The biggest common factor number is the GCF number.
So the greatest common factor 346,632,769 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 22/346, 374/632, 269/769

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 22/346, 374/632, 269/769?

Answer: LCM of Numerators as per given numbers 22/346, 374/632, 269/769 is

LCM of Numerators i.e. for 22,374,269 is 100606

GCF of denominators i.e. for 346,632,769 is 1.

Thus, LCM of Fractions is 100606.Finally, LCM of Fractions for 22/346, 374/632, 269/769 is 100606.