Least Common Multiple of 332/968, 1628/734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 332/968, 1628/734 quickly i.e. 67562 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 332/968, 1628/734 is 67562.

LCM(332/968, 1628/734) = 67562

LCM of 332/968, 1628/734

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 332/968,1628/734

Given numbers are 332/968,1628/734

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 332,1628

Least Common Multiple of Numerators i.e. LCM of 332,1628 is 135124.

GCF of Denominators means GCF of 968,734 as per the given fractions.

GCF of 968,734 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 332,1628

LCM of Fractions 332/968,1628/734 is 67562

2 332, 1628
2 166, 814
83, 407

∴ So the LCM of the given numbers is 2 x 2 x 83 x 407 = 135124

Least Common Multiple of 332,1628 with GCF Formula

Least Common Multiple of 332,1628 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 332,1628 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(332,1628) = 4

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

GCF(332,1628) x common factors =4 x 1 = 4

LCM(332,1628) = ( 332 × 1628 ) / 4

LCM(332,1628) = 540496 / 4

LCM(332,1628) = 135124


Lets's calculate GCF of 968,734

2 968, 734
484, 367

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 135124/2

Therefore the LCM of Fractions 332/968,1628/734 is 67562

Greatest Common Factor of 968,734 By Matching Biggest Common Factor Method

Greatest Common Factor of 968,734 By Matching Biggest Common Factor Method

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Greatest Common Factor

We found the factors 968,734 . The biggest common factor number is the GCF number.
So the greatest common factor 968,734 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 332/968, 1628/734

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 332/968, 1628/734?

Answer: LCM of Numerators as per given numbers 332/968, 1628/734 is

LCM of Numerators i.e. for 332,1628 is 135124

GCF of denominators i.e. for 968,734 is 2.

Thus, LCM of Fractions is 67562.Finally, LCM of Fractions for 332/968, 1628/734 is 67562.