Least Common Multiple of 94/98, 86/28, 47/210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 94/98, 86/28, 47/210 quickly i.e. 4042/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 94/98, 86/28, 47/210 is 4042/14.

LCM(94/98, 86/28, 47/210) = 4042/14

LCM of 94/98, 86/28, 47/210

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 94/98,86/28,47/210

Given numbers are 94/98,86/28,47/210

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 94,86,47

Least Common Multiple of Numerators i.e. LCM of 94,86,47 is 4042.

GCF of Denominators means GCF of 98,28,210 as per the given fractions.

GCF of 98,28,210 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 94,86,47

LCM of Fractions 94/98,86/28,47/210 is 4042/14

2 94, 86, 47
47 47, 43, 47
1, 43, 1

∴ So the LCM of the given numbers is 2 x 47 x 1 x 43 x 1 = 4042

Least Common Multiple of 94,86,47 with GCF Formula

Least Common Multiple of 94,86,47 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 94,86,47 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,86,47) = 1

common factors(in case of two or more numbers have common factors) = 94

GCF(94,86,47) x common factors =1 x 94 = 94

LCM(94,86,47) = ( 94 × 86 × 47 ) / 94

LCM(94,86,47) = 379948 / 94

LCM(94,86,47) = 4042


Lets's calculate GCF of 98,28,210

2 98, 28, 210
7 49, 14, 105
7, 2, 15

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4042/14

Therefore the LCM of Fractions 94/98,86/28,47/210 is 4042/14

Greatest Common Factor of 98,28,210 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,28,210 By Matching Biggest Common Factor Method

Factors of 98

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

1,2,7,14,49,98

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Greatest Common Factor

We found the factors 98,28,210 . The biggest common factor number is the GCF number.
So the greatest common factor 98,28,210 is 14.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 94/98, 86/28, 47/210

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 94/98, 86/28, 47/210?

Answer: LCM of Numerators as per given numbers 94/98, 86/28, 47/210 is

LCM of Numerators i.e. for 94,86,47 is 4042

GCF of denominators i.e. for 98,28,210 is 14.

Thus, LCM of Fractions is 4042/14.Finally, LCM of Fractions for 94/98, 86/28, 47/210 is 4042/14.