Least Common Multiple of 762/49, 401/7912

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 762/49, 401/7912 quickly i.e. 305562 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 762/49, 401/7912 is 305562.

LCM(762/49, 401/7912) = 305562

LCM of 762/49, 401/7912

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 762/49,401/7912

Given numbers are 762/49,401/7912

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 762,401

Least Common Multiple of Numerators i.e. LCM of 762,401 is 305562.

GCF of Denominators means GCF of 49,7912 as per the given fractions.

GCF of 49,7912 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 762,401

LCM of Fractions 762/49,401/7912 is 305562

Given numbers has no common factors except 1. So, there LCM is their product i.e 305562

Least Common Multiple of 762,401 with GCF Formula

Least Common Multiple of 762,401 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 762,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(762,401) = 1

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

GCF(762,401) x common factors =1 x 1 = 1

LCM(762,401) = ( 762 × 401 ) / 1

LCM(762,401) = 305562 / 1

LCM(762,401) = 305562


Lets's calculate GCF of 49,7912

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 305562/1

Therefore the LCM of Fractions 762/49,401/7912 is 305562

Greatest Common Factor of 49,7912 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,7912 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 7912

List of positive integer factors of 7912 that divides 7912 without a remainder.

1,2,4,8,23,43,46,86,92,172,184,344,989,1978,3956,7912

Greatest Common Factor

We found the factors 49,7912 . The biggest common factor number is the GCF number.
So the greatest common factor 49,7912 is 1.


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 762/49, 401/7912

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 762/49, 401/7912?

Answer: LCM of Numerators as per given numbers 762/49, 401/7912 is

LCM of Numerators i.e. for 762,401 is 305562

GCF of denominators i.e. for 49,7912 is 1.

Thus, LCM of Fractions is 305562.Finally, LCM of Fractions for 762/49, 401/7912 is 305562.