Least Common Multiple of 42/696, 15/866, 562/266

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/696, 15/866, 562/266 quickly i.e. 29505 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/696, 15/866, 562/266 is 29505.

LCM(42/696, 15/866, 562/266) = 29505

LCM of 42/696, 15/866, 562/266

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 42/696,15/866,562/266

Given numbers are 42/696,15/866,562/266

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 42,15,562

Least Common Multiple of Numerators i.e. LCM of 42,15,562 is 59010.

GCF of Denominators means GCF of 696,866,266 as per the given fractions.

GCF of 696,866,266 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,15,562

LCM of Fractions 42/696,15/866,562/266 is 29505

2 42, 15, 562
3 21, 15, 281
7, 5, 281

∴ So the LCM of the given numbers is 2 x 3 x 7 x 5 x 281 = 59010

Least Common Multiple of 42,15,562 with GCF Formula

Least Common Multiple of 42,15,562 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 42,15,562 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,15,562) = 1

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

GCF(42,15,562) x common factors =1 x 6 = 6

LCM(42,15,562) = ( 42 × 15 × 562 ) / 6

LCM(42,15,562) = 354060 / 6

LCM(42,15,562) = 59010


Lets's calculate GCF of 696,866,266

2 696, 866, 266
348, 433, 133

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59010/2

Therefore the LCM of Fractions 42/696,15/866,562/266 is 29505

Greatest Common Factor of 696,866,266 By Matching Biggest Common Factor Method

Greatest Common Factor of 696,866,266 By Matching Biggest Common Factor Method

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

Factors of 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

Greatest Common Factor

We found the factors 696,866,266 . The biggest common factor number is the GCF number.
So the greatest common factor 696,866,266 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 42/696, 15/866, 562/266

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 42/696, 15/866, 562/266?

Answer: LCM of Numerators as per given numbers 42/696, 15/866, 562/266 is

LCM of Numerators i.e. for 42,15,562 is 59010

GCF of denominators i.e. for 696,866,266 is 2.

Thus, LCM of Fractions is 29505.Finally, LCM of Fractions for 42/696, 15/866, 562/266 is 29505.