Least Common Multiple of 22/42, 770/51, 730/669

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/42, 770/51, 730/669 quickly i.e. 56210/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/42, 770/51, 730/669 is 56210/3.

LCM(22/42, 770/51, 730/669) = 56210/3

LCM of 22/42, 770/51, 730/669

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 22/42,770/51,730/669

Given numbers are 22/42,770/51,730/669

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 22,770,730

Least Common Multiple of Numerators i.e. LCM of 22,770,730 is 56210.

GCF of Denominators means GCF of 42,51,669 as per the given fractions.

GCF of 42,51,669 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,770,730

LCM of Fractions 22/42,770/51,730/669 is 56210/3

2 22, 770, 730
5 11, 385, 365
11 11, 77, 73
1, 7, 73

∴ So the LCM of the given numbers is 2 x 5 x 11 x 1 x 7 x 73 = 56210

Least Common Multiple of 22,770,730 with GCF Formula

Least Common Multiple of 22,770,730 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 22,770,730 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,770,730) = 2

common factors(in case of two or more numbers have common factors) = 110

GCF(22,770,730) x common factors =2 x 110 = 220

LCM(22,770,730) = ( 22 × 770 × 730 ) / 220

LCM(22,770,730) = 12366200 / 220

LCM(22,770,730) = 56210


Lets's calculate GCF of 42,51,669

3 42, 51, 669
14, 17, 223

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56210/3

Therefore the LCM of Fractions 22/42,770/51,730/669 is 56210/3

Greatest Common Factor of 42,51,669 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,51,669 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 669

List of positive integer factors of 669 that divides 669 without a remainder.

1,3,223,669

Greatest Common Factor

We found the factors 42,51,669 . The biggest common factor number is the GCF number.
So the greatest common factor 42,51,669 is 3.


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 22/42, 770/51, 730/669

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 22/42, 770/51, 730/669?

Answer: LCM of Numerators as per given numbers 22/42, 770/51, 730/669 is

LCM of Numerators i.e. for 22,770,730 is 56210

GCF of denominators i.e. for 42,51,669 is 3.

Thus, LCM of Fractions is 56210/3.Finally, LCM of Fractions for 22/42, 770/51, 730/669 is 56210/3.