Least Common Multiple of 87/374, 98/470, 244/164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/374, 98/470, 244/164 quickly i.e. 520086 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/374, 98/470, 244/164 is 520086.

LCM(87/374, 98/470, 244/164) = 520086

LCM of 87/374, 98/470, 244/164

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 87/374,98/470,244/164

Given numbers are 87/374,98/470,244/164

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 87,98,244

Least Common Multiple of Numerators i.e. LCM of 87,98,244 is 1040172.

GCF of Denominators means GCF of 374,470,164 as per the given fractions.

GCF of 374,470,164 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,98,244

LCM of Fractions 87/374,98/470,244/164 is 520086

2 87, 98, 244
87, 49, 122

∴ So the LCM of the given numbers is 2 x 87 x 49 x 122 = 1040172

Least Common Multiple of 87,98,244 with GCF Formula

Least Common Multiple of 87,98,244 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 87,98,244 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,98,244) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(87,98,244) x common factors =1 x 2 = 2

LCM(87,98,244) = ( 87 × 98 × 244 ) / 2

LCM(87,98,244) = 2080344 / 2

LCM(87,98,244) = 1040172


Lets's calculate GCF of 374,470,164

2 374, 470, 164
187, 235, 82

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1040172/2

Therefore the LCM of Fractions 87/374,98/470,244/164 is 520086

Greatest Common Factor of 374,470,164 By Matching Biggest Common Factor Method

Greatest Common Factor of 374,470,164 By Matching Biggest Common Factor Method

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Greatest Common Factor

We found the factors 374,470,164 . The biggest common factor number is the GCF number.
So the greatest common factor 374,470,164 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 87/374, 98/470, 244/164

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 87/374, 98/470, 244/164?

Answer: LCM of Numerators as per given numbers 87/374, 98/470, 244/164 is

LCM of Numerators i.e. for 87,98,244 is 1040172

GCF of denominators i.e. for 374,470,164 is 2.

Thus, LCM of Fractions is 520086.Finally, LCM of Fractions for 87/374, 98/470, 244/164 is 520086.