Least Common Multiple of 20/86, 60/98, 35/88, 86/140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/86, 60/98, 35/88, 86/140 quickly i.e. 9030 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/86, 60/98, 35/88, 86/140 is 9030.

LCM(20/86, 60/98, 35/88, 86/140) = 9030

LCM of 20/86, 60/98, 35/88, 86/140

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 20/86,60/98,35/88,86/140

Given numbers are 20/86,60/98,35/88,86/140

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 20,60,35,86

Least Common Multiple of Numerators i.e. LCM of 20,60,35,86 is 18060.

GCF of Denominators means GCF of 86,98,88,140 as per the given fractions.

GCF of 86,98,88,140 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,60,35,86

LCM of Fractions 20/86,60/98,35/88,86/140 is 9030

2 20, 60, 35, 86
2 10, 30, 35, 43
5 5, 15, 35, 43
1, 3, 7, 43

∴ So the LCM of the given numbers is 2 x 2 x 5 x 1 x 3 x 7 x 43 = 18060

Least Common Multiple of 20,60,35,86 with GCF Formula

Least Common Multiple of 20,60,35,86 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 20,60,35,86 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,60,35,86) = 1

common factors(in case of two or more numbers have common factors) = 200

GCF(20,60,35,86) x common factors =1 x 200 = 200

LCM(20,60,35,86) = ( 20 × 60 × 35 × 86 ) / 200

LCM(20,60,35,86) = 3612000 / 200

LCM(20,60,35,86) = 18060


Lets's calculate GCF of 86,98,88,140

2 86, 98, 88, 140
43, 49, 44, 70

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18060/2

Therefore the LCM of Fractions 20/86,60/98,35/88,86/140 is 9030

Greatest Common Factor of 86,98,88,140 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,98,88,140 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 98

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

1,2,7,14,49,98

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Greatest Common Factor

We found the factors 86,98,88,140 . The biggest common factor number is the GCF number.
So the greatest common factor 86,98,88,140 is 2.


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 20/86, 60/98, 35/88, 86/140

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 20/86, 60/98, 35/88, 86/140?

Answer: LCM of Numerators as per given numbers 20/86, 60/98, 35/88, 86/140 is

LCM of Numerators i.e. for 20,60,35,86 is 18060

GCF of denominators i.e. for 86,98,88,140 is 2.

Thus, LCM of Fractions is 9030.Finally, LCM of Fractions for 20/86, 60/98, 35/88, 86/140 is 9030.