Least Common Multiple of 1582/312, 3376/7420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1582/312, 3376/7420 quickly i.e. 667604 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1582/312, 3376/7420 is 667604.

LCM(1582/312, 3376/7420) = 667604

LCM of 1582/312, 3376/7420

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 1582/312,3376/7420

Given numbers are 1582/312,3376/7420

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 1582,3376

Least Common Multiple of Numerators i.e. LCM of 1582,3376 is 2670416.

GCF of Denominators means GCF of 312,7420 as per the given fractions.

GCF of 312,7420 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1582,3376

LCM of Fractions 1582/312,3376/7420 is 667604

2 1582, 3376
791, 1688

∴ So the LCM of the given numbers is 2 x 791 x 1688 = 2670416

Least Common Multiple of 1582,3376 with GCF Formula

Least Common Multiple of 1582,3376 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 1582,3376 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1582,3376) = 2

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

GCF(1582,3376) x common factors =2 x 1 = 2

LCM(1582,3376) = ( 1582 × 3376 ) / 2

LCM(1582,3376) = 5340832 / 2

LCM(1582,3376) = 2670416


Lets's calculate GCF of 312,7420

2 312, 7420
2 156, 3710
78, 1855

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2670416/4

Therefore the LCM of Fractions 1582/312,3376/7420 is 667604

Greatest Common Factor of 312,7420 By Matching Biggest Common Factor Method

Greatest Common Factor of 312,7420 By Matching Biggest Common Factor Method

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Factors of 7420

List of positive integer factors of 7420 that divides 7420 without a remainder.

1,2,4,5,7,10,14,20,28,35,53,70,106,140,212,265,371,530,742,1060,1484,1855,3710,7420

Greatest Common Factor

We found the factors 312,7420 . The biggest common factor number is the GCF number.
So the greatest common factor 312,7420 is 4.


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 1582/312, 3376/7420

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 1582/312, 3376/7420?

Answer: LCM of Numerators as per given numbers 1582/312, 3376/7420 is

LCM of Numerators i.e. for 1582,3376 is 2670416

GCF of denominators i.e. for 312,7420 is 4.

Thus, LCM of Fractions is 667604.Finally, LCM of Fractions for 1582/312, 3376/7420 is 667604.