Least Common Multiple of 435/992, 716/953, 652/411

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 435/992, 716/953, 652/411 quickly i.e. 50767980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 435/992, 716/953, 652/411 is 50767980.

LCM(435/992, 716/953, 652/411) = 50767980

LCM of 435/992, 716/953, 652/411

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 435/992,716/953,652/411

Given numbers are 435/992,716/953,652/411

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 435,716,652

Least Common Multiple of Numerators i.e. LCM of 435,716,652 is 50767980.

GCF of Denominators means GCF of 992,953,411 as per the given fractions.

GCF of 992,953,411 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 435,716,652

LCM of Fractions 435/992,716/953,652/411 is 50767980

2 435, 716, 652
2 435, 358, 326
435, 179, 163

∴ So the LCM of the given numbers is 2 x 2 x 435 x 179 x 163 = 50767980

Least Common Multiple of 435,716,652 with GCF Formula

Least Common Multiple of 435,716,652 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 435,716,652 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(435,716,652) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(435,716,652) x common factors =1 x 4 = 4

LCM(435,716,652) = ( 435 × 716 × 652 ) / 4

LCM(435,716,652) = 203071920 / 4

LCM(435,716,652) = 50767980


Lets's calculate GCF of 992,953,411

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50767980/1

Therefore the LCM of Fractions 435/992,716/953,652/411 is 50767980

Greatest Common Factor of 992,953,411 By Matching Biggest Common Factor Method

Greatest Common Factor of 992,953,411 By Matching Biggest Common Factor Method

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Factors of 953

List of positive integer factors of 953 that divides 953 without a remainder.

1,953

Factors of 411

List of positive integer factors of 411 that divides 411 without a remainder.

1,3,137,411

Greatest Common Factor

We found the factors 992,953,411 . The biggest common factor number is the GCF number.
So the greatest common factor 992,953,411 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 435/992, 716/953, 652/411

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 435/992, 716/953, 652/411?

Answer: LCM of Numerators as per given numbers 435/992, 716/953, 652/411 is

LCM of Numerators i.e. for 435,716,652 is 50767980

GCF of denominators i.e. for 992,953,411 is 1.

Thus, LCM of Fractions is 50767980.Finally, LCM of Fractions for 435/992, 716/953, 652/411 is 50767980.