Least Common Multiple of 187/902, 416/184, 153/196

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 187/902, 416/184, 153/196 quickly i.e. 350064 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 187/902, 416/184, 153/196 is 350064.

LCM(187/902, 416/184, 153/196) = 350064

LCM of 187/902, 416/184, 153/196

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 187/902,416/184,153/196

Given numbers are 187/902,416/184,153/196

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 187,416,153

Least Common Multiple of Numerators i.e. LCM of 187,416,153 is 700128.

GCF of Denominators means GCF of 902,184,196 as per the given fractions.

GCF of 902,184,196 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 187,416,153

LCM of Fractions 187/902,416/184,153/196 is 350064

17 187, 416, 153
11, 416, 9

∴ So the LCM of the given numbers is 17 x 11 x 416 x 9 = 700128

Least Common Multiple of 187,416,153 with GCF Formula

Least Common Multiple of 187,416,153 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 187,416,153 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(187,416,153) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(187,416,153) x common factors =1 x 17 = 17

LCM(187,416,153) = ( 187 × 416 × 153 ) / 17

LCM(187,416,153) = 11902176 / 17

LCM(187,416,153) = 700128


Lets's calculate GCF of 902,184,196

2 902, 184, 196
451, 92, 98

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 700128/2

Therefore the LCM of Fractions 187/902,416/184,153/196 is 350064

Greatest Common Factor of 902,184,196 By Matching Biggest Common Factor Method

Greatest Common Factor of 902,184,196 By Matching Biggest Common Factor Method

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

Factors of 184

List of positive integer factors of 184 that divides 184 without a remainder.

1,2,4,8,23,46,92,184

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1,2,4,7,14,28,49,98,196

Greatest Common Factor

We found the factors 902,184,196 . The biggest common factor number is the GCF number.
So the greatest common factor 902,184,196 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 187/902, 416/184, 153/196

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 187/902, 416/184, 153/196?

Answer: LCM of Numerators as per given numbers 187/902, 416/184, 153/196 is

LCM of Numerators i.e. for 187,416,153 is 700128

GCF of denominators i.e. for 902,184,196 is 2.

Thus, LCM of Fractions is 350064.Finally, LCM of Fractions for 187/902, 416/184, 153/196 is 350064.