Least Common Multiple of 692/66, 215/8940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 692/66, 215/8940 quickly i.e. 148780/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 692/66, 215/8940 is 148780/6.

LCM(692/66, 215/8940) = 148780/6

LCM of 692/66, 215/8940

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 692/66,215/8940

Given numbers are 692/66,215/8940

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 692,215

Least Common Multiple of Numerators i.e. LCM of 692,215 is 148780.

GCF of Denominators means GCF of 66,8940 as per the given fractions.

GCF of 66,8940 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 692,215

LCM of Fractions 692/66,215/8940 is 148780/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 148780

Least Common Multiple of 692,215 with GCF Formula

Least Common Multiple of 692,215 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 692,215 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(692,215) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(692,215) x common factors =1 x 1 = 1

LCM(692,215) = ( 692 × 215 ) / 1

LCM(692,215) = 148780 / 1

LCM(692,215) = 148780


Lets's calculate GCF of 66,8940

2 66, 8940
3 33, 4470
11, 1490

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 148780/6

Therefore the LCM of Fractions 692/66,215/8940 is 148780/6

Greatest Common Factor of 66,8940 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,8940 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 8940

List of positive integer factors of 8940 that divides 8940 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,149,298,447,596,745,894,1490,1788,2235,2980,4470,8940

Greatest Common Factor

We found the factors 66,8940 . The biggest common factor number is the GCF number.
So the greatest common factor 66,8940 is 6.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 692/66, 215/8940

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 692/66, 215/8940?

Answer: LCM of Numerators as per given numbers 692/66, 215/8940 is

LCM of Numerators i.e. for 692,215 is 148780

GCF of denominators i.e. for 66,8940 is 6.

Thus, LCM of Fractions is 148780/6.Finally, LCM of Fractions for 692/66, 215/8940 is 148780/6.