Least Common Multiple of 10/849, 84/942, 738/669

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/849, 84/942, 738/669 quickly i.e. 17220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/849, 84/942, 738/669 is 17220.

LCM(10/849, 84/942, 738/669) = 17220

LCM of 10/849, 84/942, 738/669

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 10/849,84/942,738/669

Given numbers are 10/849,84/942,738/669

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 10,84,738

Least Common Multiple of Numerators i.e. LCM of 10,84,738 is 51660.

GCF of Denominators means GCF of 849,942,669 as per the given fractions.

GCF of 849,942,669 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,84,738

LCM of Fractions 10/849,84/942,738/669 is 17220

2 10, 84, 738
3 5, 42, 369
5, 14, 123

∴ So the LCM of the given numbers is 2 x 3 x 5 x 14 x 123 = 51660

Least Common Multiple of 10,84,738 with GCF Formula

Least Common Multiple of 10,84,738 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 10,84,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,84,738) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(10,84,738) x common factors =2 x 6 = 12

LCM(10,84,738) = ( 10 × 84 × 738 ) / 12

LCM(10,84,738) = 619920 / 12

LCM(10,84,738) = 51660


Lets's calculate GCF of 849,942,669

3 849, 942, 669
283, 314, 223

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51660/3

Therefore the LCM of Fractions 10/849,84/942,738/669 is 17220

Greatest Common Factor of 849,942,669 By Matching Biggest Common Factor Method

Greatest Common Factor of 849,942,669 By Matching Biggest Common Factor Method

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

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 849,942,669 . The biggest common factor number is the GCF number.
So the greatest common factor 849,942,669 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 10/849, 84/942, 738/669

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 10/849, 84/942, 738/669?

Answer: LCM of Numerators as per given numbers 10/849, 84/942, 738/669 is

LCM of Numerators i.e. for 10,84,738 is 51660

GCF of denominators i.e. for 849,942,669 is 3.

Thus, LCM of Fractions is 17220.Finally, LCM of Fractions for 10/849, 84/942, 738/669 is 17220.