Least Common Multiple of 435/13, 799/71, 640/211

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 435/13, 799/71, 640/211 quickly i.e. 44488320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 435/13, 799/71, 640/211 is 44488320.

LCM(435/13, 799/71, 640/211) = 44488320

LCM of 435/13, 799/71, 640/211

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 435/13,799/71,640/211

Given numbers are 435/13,799/71,640/211

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 435,799,640

Least Common Multiple of Numerators i.e. LCM of 435,799,640 is 44488320.

GCF of Denominators means GCF of 13,71,211 as per the given fractions.

GCF of 13,71,211 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 435,799,640

LCM of Fractions 435/13,799/71,640/211 is 44488320

5 435, 799, 640
87, 799, 128

∴ So the LCM of the given numbers is 5 x 87 x 799 x 128 = 44488320

Least Common Multiple of 435,799,640 with GCF Formula

Least Common Multiple of 435,799,640 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 435,799,640 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(435,799,640) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(435,799,640) x common factors =1 x 5 = 5

LCM(435,799,640) = ( 435 × 799 × 640 ) / 5

LCM(435,799,640) = 222441600 / 5

LCM(435,799,640) = 44488320


Lets's calculate GCF of 13,71,211

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44488320/1

Therefore the LCM of Fractions 435/13,799/71,640/211 is 44488320

Greatest Common Factor of 13,71,211 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,71,211 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 211

List of positive integer factors of 211 that divides 211 without a remainder.

1,211

Greatest Common Factor

We found the factors 13,71,211 . The biggest common factor number is the GCF number.
So the greatest common factor 13,71,211 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 435/13, 799/71, 640/211

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 435/13, 799/71, 640/211?

Answer: LCM of Numerators as per given numbers 435/13, 799/71, 640/211 is

LCM of Numerators i.e. for 435,799,640 is 44488320

GCF of denominators i.e. for 13,71,211 is 1.

Thus, LCM of Fractions is 44488320.Finally, LCM of Fractions for 435/13, 799/71, 640/211 is 44488320.