Least Common Multiple of 62/48, 958/94, 419/492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 62/48, 958/94, 419/492 quickly i.e. 6221731 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/48, 958/94, 419/492 is 6221731.

LCM(62/48, 958/94, 419/492) = 6221731

LCM of 62/48, 958/94, 419/492

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 62/48,958/94,419/492

Given numbers are 62/48,958/94,419/492

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 62,958,419

Least Common Multiple of Numerators i.e. LCM of 62,958,419 is 12443462.

GCF of Denominators means GCF of 48,94,492 as per the given fractions.

GCF of 48,94,492 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,958,419

LCM of Fractions 62/48,958/94,419/492 is 6221731

2 62, 958, 419
31, 479, 419

∴ So the LCM of the given numbers is 2 x 31 x 479 x 419 = 12443462

Least Common Multiple of 62,958,419 with GCF Formula

Least Common Multiple of 62,958,419 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 62,958,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,958,419) = 1

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

GCF(62,958,419) x common factors =1 x 2 = 2

LCM(62,958,419) = ( 62 × 958 × 419 ) / 2

LCM(62,958,419) = 24886924 / 2

LCM(62,958,419) = 12443462


Lets's calculate GCF of 48,94,492

2 48, 94, 492
24, 47, 246

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12443462/2

Therefore the LCM of Fractions 62/48,958/94,419/492 is 6221731

Greatest Common Factor of 48,94,492 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,94,492 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Greatest Common Factor

We found the factors 48,94,492 . The biggest common factor number is the GCF number.
So the greatest common factor 48,94,492 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 62/48, 958/94, 419/492

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 62/48, 958/94, 419/492?

Answer: LCM of Numerators as per given numbers 62/48, 958/94, 419/492 is

LCM of Numerators i.e. for 62,958,419 is 12443462

GCF of denominators i.e. for 48,94,492 is 2.

Thus, LCM of Fractions is 6221731.Finally, LCM of Fractions for 62/48, 958/94, 419/492 is 6221731.