Least Common Multiple of 102/84, 662/21, 210/679

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 102/84, 662/21, 210/679 quickly i.e. 168810 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 102/84, 662/21, 210/679 is 168810.

LCM(102/84, 662/21, 210/679) = 168810

LCM of 102/84, 662/21, 210/679

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 102/84,662/21,210/679

Given numbers are 102/84,662/21,210/679

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 102,662,210

Least Common Multiple of Numerators i.e. LCM of 102,662,210 is 1181670.

GCF of Denominators means GCF of 84,21,679 as per the given fractions.

GCF of 84,21,679 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 102,662,210

LCM of Fractions 102/84,662/21,210/679 is 168810

2 102, 662, 210
3 51, 331, 105
17, 331, 35

∴ So the LCM of the given numbers is 2 x 3 x 17 x 331 x 35 = 1181670

Least Common Multiple of 102,662,210 with GCF Formula

Least Common Multiple of 102,662,210 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 102,662,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(102,662,210) = 2

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

GCF(102,662,210) x common factors =2 x 6 = 12

LCM(102,662,210) = ( 102 × 662 × 210 ) / 12

LCM(102,662,210) = 14180040 / 12

LCM(102,662,210) = 1181670


Lets's calculate GCF of 84,21,679

7 84, 21, 679
12, 3, 97

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1181670/7

Therefore the LCM of Fractions 102/84,662/21,210/679 is 168810

Greatest Common Factor of 84,21,679 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,21,679 By Matching Biggest Common Factor Method

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 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1,7,97,679

Greatest Common Factor

We found the factors 84,21,679 . The biggest common factor number is the GCF number.
So the greatest common factor 84,21,679 is 7.


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 102/84, 662/21, 210/679

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 102/84, 662/21, 210/679?

Answer: LCM of Numerators as per given numbers 102/84, 662/21, 210/679 is

LCM of Numerators i.e. for 102,662,210 is 1181670

GCF of denominators i.e. for 84,21,679 is 7.

Thus, LCM of Fractions is 168810.Finally, LCM of Fractions for 102/84, 662/21, 210/679 is 168810.