Least Common Multiple of 928/116, 3360/435

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 928/116, 3360/435 quickly i.e. 3360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 928/116, 3360/435 is 3360.

LCM(928/116, 3360/435) = 3360

LCM of 928/116, 3360/435

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 928/116,3360/435

Given numbers are 928/116,3360/435

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 928,3360

Least Common Multiple of Numerators i.e. LCM of 928,3360 is 97440.

GCF of Denominators means GCF of 116,435 as per the given fractions.

GCF of 116,435 is 29 as it is the largest common factor for these numbers.

Lets's calculate LCM of 928,3360

LCM of Fractions 928/116,3360/435 is 3360

2 928, 3360
2 464, 1680
2 232, 840
2 116, 420
2 58, 210
29, 105

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 29 x 105 = 97440

Least Common Multiple of 928,3360 with GCF Formula

Least Common Multiple of 928,3360 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 928,3360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(928,3360) = 32

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

GCF(928,3360) x common factors =32 x 1 = 32

LCM(928,3360) = ( 928 × 3360 ) / 32

LCM(928,3360) = 3118080 / 32

LCM(928,3360) = 97440


Lets's calculate GCF of 116,435

29 116, 435
4, 15

∴ So the GCF of the given numbers is 29 = 29

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 97440/29

Therefore the LCM of Fractions 928/116,3360/435 is 3360

Greatest Common Factor of 116,435 By Matching Biggest Common Factor Method

Greatest Common Factor of 116,435 By Matching Biggest Common Factor Method

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1,2,4,29,58,116

Factors of 435

List of positive integer factors of 435 that divides 435 without a remainder.

1,3,5,15,29,87,145,435

Greatest Common Factor

We found the factors 116,435 . The biggest common factor number is the GCF number.
So the greatest common factor 116,435 is 29.


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 928/116, 3360/435

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 928/116, 3360/435?

Answer: LCM of Numerators as per given numbers 928/116, 3360/435 is

LCM of Numerators i.e. for 928,3360 is 97440

GCF of denominators i.e. for 116,435 is 29.

Thus, LCM of Fractions is 3360.Finally, LCM of Fractions for 928/116, 3360/435 is 3360.