Least Common Multiple of 196/190, 971/832, 790/246

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 196/190, 971/832, 790/246 quickly i.e. 37587410 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 196/190, 971/832, 790/246 is 37587410.

LCM(196/190, 971/832, 790/246) = 37587410

LCM of 196/190, 971/832, 790/246

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 196/190,971/832,790/246

Given numbers are 196/190,971/832,790/246

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 196,971,790

Least Common Multiple of Numerators i.e. LCM of 196,971,790 is 75174820.

GCF of Denominators means GCF of 190,832,246 as per the given fractions.

GCF of 190,832,246 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 196,971,790

LCM of Fractions 196/190,971/832,790/246 is 37587410

2 196, 971, 790
98, 971, 395

∴ So the LCM of the given numbers is 2 x 98 x 971 x 395 = 75174820

Least Common Multiple of 196,971,790 with GCF Formula

Least Common Multiple of 196,971,790 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 196,971,790 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(196,971,790) = 1

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

GCF(196,971,790) x common factors =1 x 2 = 2

LCM(196,971,790) = ( 196 × 971 × 790 ) / 2

LCM(196,971,790) = 150349640 / 2

LCM(196,971,790) = 75174820


Lets's calculate GCF of 190,832,246

2 190, 832, 246
95, 416, 123

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75174820/2

Therefore the LCM of Fractions 196/190,971/832,790/246 is 37587410

Greatest Common Factor of 190,832,246 By Matching Biggest Common Factor Method

Greatest Common Factor of 190,832,246 By Matching Biggest Common Factor Method

Factors of 190

List of positive integer factors of 190 that divides 190 without a remainder.

1,2,5,10,19,38,95,190

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Factors of 246

List of positive integer factors of 246 that divides 246 without a remainder.

1,2,3,6,41,82,123,246

Greatest Common Factor

We found the factors 190,832,246 . The biggest common factor number is the GCF number.
So the greatest common factor 190,832,246 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 196/190, 971/832, 790/246

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 196/190, 971/832, 790/246?

Answer: LCM of Numerators as per given numbers 196/190, 971/832, 790/246 is

LCM of Numerators i.e. for 196,971,790 is 75174820

GCF of denominators i.e. for 190,832,246 is 2.

Thus, LCM of Fractions is 37587410.Finally, LCM of Fractions for 196/190, 971/832, 790/246 is 37587410.