Least Common Multiple of 35/18, 87/84, 678/98

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 35/18, 87/84, 678/98 quickly i.e. 344085 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/18, 87/84, 678/98 is 344085.

LCM(35/18, 87/84, 678/98) = 344085

LCM of 35/18, 87/84, 678/98

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 35/18,87/84,678/98

Given numbers are 35/18,87/84,678/98

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 35,87,678

Least Common Multiple of Numerators i.e. LCM of 35,87,678 is 688170.

GCF of Denominators means GCF of 18,84,98 as per the given fractions.

GCF of 18,84,98 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,87,678

LCM of Fractions 35/18,87/84,678/98 is 344085

3 35, 87, 678
35, 29, 226

∴ So the LCM of the given numbers is 3 x 35 x 29 x 226 = 688170

Least Common Multiple of 35,87,678 with GCF Formula

Least Common Multiple of 35,87,678 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 35,87,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,87,678) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(35,87,678) x common factors =1 x 3 = 3

LCM(35,87,678) = ( 35 × 87 × 678 ) / 3

LCM(35,87,678) = 2064510 / 3

LCM(35,87,678) = 688170


Lets's calculate GCF of 18,84,98

2 18, 84, 98
9, 42, 49

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 688170/2

Therefore the LCM of Fractions 35/18,87/84,678/98 is 344085

Greatest Common Factor of 18,84,98 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,84,98 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Greatest Common Factor

We found the factors 18,84,98 . The biggest common factor number is the GCF number.
So the greatest common factor 18,84,98 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 35/18, 87/84, 678/98

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 35/18, 87/84, 678/98?

Answer: LCM of Numerators as per given numbers 35/18, 87/84, 678/98 is

LCM of Numerators i.e. for 35,87,678 is 688170

GCF of denominators i.e. for 18,84,98 is 2.

Thus, LCM of Fractions is 344085.Finally, LCM of Fractions for 35/18, 87/84, 678/98 is 344085.