Least Common Multiple of 196/60, 778/506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 196/60, 778/506 quickly i.e. 38122 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 196/60, 778/506 is 38122.

LCM(196/60, 778/506) = 38122

LCM of 196/60, 778/506

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 196/60,778/506

Given numbers are 196/60,778/506

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 196,778

Least Common Multiple of Numerators i.e. LCM of 196,778 is 76244.

GCF of Denominators means GCF of 60,506 as per the given fractions.

GCF of 60,506 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 196,778

LCM of Fractions 196/60,778/506 is 38122

2 196, 778
98, 389

∴ So the LCM of the given numbers is 2 x 98 x 389 = 76244

Least Common Multiple of 196,778 with GCF Formula

Least Common Multiple of 196,778 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 196,778 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(196,778) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(196,778) x common factors =2 x 1 = 2

LCM(196,778) = ( 196 × 778 ) / 2

LCM(196,778) = 152488 / 2

LCM(196,778) = 76244


Lets's calculate GCF of 60,506

2 60, 506
30, 253

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76244/2

Therefore the LCM of Fractions 196/60,778/506 is 38122

Greatest Common Factor of 60,506 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,506 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Greatest Common Factor

We found the factors 60,506 . The biggest common factor number is the GCF number.
So the greatest common factor 60,506 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 196/60, 778/506

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 196/60, 778/506?

Answer: LCM of Numerators as per given numbers 196/60, 778/506 is

LCM of Numerators i.e. for 196,778 is 76244

GCF of denominators i.e. for 60,506 is 2.

Thus, LCM of Fractions is 38122.Finally, LCM of Fractions for 196/60, 778/506 is 38122.