Least Common Multiple of 35/97, 84/95, 48/22, 64/166

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/97, 84/95, 48/22, 64/166 quickly i.e. 6720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/97, 84/95, 48/22, 64/166 is 6720.

LCM(35/97, 84/95, 48/22, 64/166) = 6720

LCM of 35/97, 84/95, 48/22, 64/166

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 35/97,84/95,48/22,64/166

Given numbers are 35/97,84/95,48/22,64/166

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 35,84,48,64

Least Common Multiple of Numerators i.e. LCM of 35,84,48,64 is 6720.

GCF of Denominators means GCF of 97,95,22,166 as per the given fractions.

GCF of 97,95,22,166 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,84,48,64

LCM of Fractions 35/97,84/95,48/22,64/166 is 6720

2 35, 84, 48, 64
2 35, 42, 24, 32
2 35, 21, 12, 16
2 35, 21, 6, 8
3 35, 21, 3, 4
7 35, 7, 1, 4
5, 1, 1, 4

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 7 x 5 x 1 x 1 x 4 = 6720

Least Common Multiple of 35,84,48,64 with GCF Formula

Least Common Multiple of 35,84,48,64 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 35,84,48,64 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,84,48,64) = 1

common factors(in case of two or more numbers have common factors) = 1344

GCF(35,84,48,64) x common factors =1 x 1344 = 1344

LCM(35,84,48,64) = ( 35 × 84 × 48 × 64 ) / 1344

LCM(35,84,48,64) = 9031680 / 1344

LCM(35,84,48,64) = 6720


Lets's calculate GCF of 97,95,22,166

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6720/1

Therefore the LCM of Fractions 35/97,84/95,48/22,64/166 is 6720

Greatest Common Factor of 97,95,22,166 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,95,22,166 By Matching Biggest Common Factor Method

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 166

List of positive integer factors of 166 that divides 166 without a remainder.

1,2,83,166

Greatest Common Factor

We found the factors 97,95,22,166 . The biggest common factor number is the GCF number.
So the greatest common factor 97,95,22,166 is 1.


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 35/97, 84/95, 48/22, 64/166

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 35/97, 84/95, 48/22, 64/166?

Answer: LCM of Numerators as per given numbers 35/97, 84/95, 48/22, 64/166 is

LCM of Numerators i.e. for 35,84,48,64 is 6720

GCF of denominators i.e. for 97,95,22,166 is 1.

Thus, LCM of Fractions is 6720.Finally, LCM of Fractions for 35/97, 84/95, 48/22, 64/166 is 6720.