Least Common Multiple of 761/196, 4988/469

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 761/196, 4988/469 quickly i.e. 3795868/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 761/196, 4988/469 is 3795868/7.

LCM(761/196, 4988/469) = 3795868/7

LCM of 761/196, 4988/469

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 761/196,4988/469

Given numbers are 761/196,4988/469

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 761,4988

Least Common Multiple of Numerators i.e. LCM of 761,4988 is 3795868.

GCF of Denominators means GCF of 196,469 as per the given fractions.

GCF of 196,469 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 761,4988

LCM of Fractions 761/196,4988/469 is 3795868/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 3795868

Least Common Multiple of 761,4988 with GCF Formula

Least Common Multiple of 761,4988 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 761,4988 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(761,4988) = 1

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

GCF(761,4988) x common factors =1 x 1 = 1

LCM(761,4988) = ( 761 × 4988 ) / 1

LCM(761,4988) = 3795868 / 1

LCM(761,4988) = 3795868


Lets's calculate GCF of 196,469

7 196, 469
28, 67

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3795868/7

Therefore the LCM of Fractions 761/196,4988/469 is 3795868/7

Greatest Common Factor of 196,469 By Matching Biggest Common Factor Method

Greatest Common Factor of 196,469 By Matching Biggest Common Factor Method

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

Factors of 469

List of positive integer factors of 469 that divides 469 without a remainder.

1,7,67,469

Greatest Common Factor

We found the factors 196,469 . The biggest common factor number is the GCF number.
So the greatest common factor 196,469 is 7.


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 761/196, 4988/469

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 761/196, 4988/469?

Answer: LCM of Numerators as per given numbers 761/196, 4988/469 is

LCM of Numerators i.e. for 761,4988 is 3795868

GCF of denominators i.e. for 196,469 is 7.

Thus, LCM of Fractions is 3795868/7.Finally, LCM of Fractions for 761/196, 4988/469 is 3795868/7.