Least Common Multiple of 84/78, 68/66, 235/785

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 84/78, 68/66, 235/785 quickly i.e. 335580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/78, 68/66, 235/785 is 335580.

LCM(84/78, 68/66, 235/785) = 335580

LCM of 84/78, 68/66, 235/785

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 84/78,68/66,235/785

Given numbers are 84/78,68/66,235/785

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 84,68,235

Least Common Multiple of Numerators i.e. LCM of 84,68,235 is 335580.

GCF of Denominators means GCF of 78,66,785 as per the given fractions.

GCF of 78,66,785 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,68,235

LCM of Fractions 84/78,68/66,235/785 is 335580

2 84, 68, 235
2 42, 34, 235
21, 17, 235

∴ So the LCM of the given numbers is 2 x 2 x 21 x 17 x 235 = 335580

Least Common Multiple of 84,68,235 with GCF Formula

Least Common Multiple of 84,68,235 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 84,68,235 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,68,235) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(84,68,235) x common factors =1 x 4 = 4

LCM(84,68,235) = ( 84 × 68 × 235 ) / 4

LCM(84,68,235) = 1342320 / 4

LCM(84,68,235) = 335580


Lets's calculate GCF of 78,66,785

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 335580/1

Therefore the LCM of Fractions 84/78,68/66,235/785 is 335580

Greatest Common Factor of 78,66,785 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,66,785 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

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 785

List of positive integer factors of 785 that divides 785 without a remainder.

1,5,157,785

Greatest Common Factor

We found the factors 78,66,785 . The biggest common factor number is the GCF number.
So the greatest common factor 78,66,785 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 84/78, 68/66, 235/785

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 84/78, 68/66, 235/785?

Answer: LCM of Numerators as per given numbers 84/78, 68/66, 235/785 is

LCM of Numerators i.e. for 84,68,235 is 335580

GCF of denominators i.e. for 78,66,785 is 1.

Thus, LCM of Fractions is 335580.Finally, LCM of Fractions for 84/78, 68/66, 235/785 is 335580.