Least Common Multiple of 705/531, 4350/3379

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 705/531, 4350/3379 quickly i.e. 204450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 705/531, 4350/3379 is 204450.

LCM(705/531, 4350/3379) = 204450

LCM of 705/531, 4350/3379

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 705/531,4350/3379

Given numbers are 705/531,4350/3379

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 705,4350

Least Common Multiple of Numerators i.e. LCM of 705,4350 is 204450.

GCF of Denominators means GCF of 531,3379 as per the given fractions.

GCF of 531,3379 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 705,4350

LCM of Fractions 705/531,4350/3379 is 204450

3 705, 4350
5 235, 1450
47, 290

∴ So the LCM of the given numbers is 3 x 5 x 47 x 290 = 204450

Least Common Multiple of 705,4350 with GCF Formula

Least Common Multiple of 705,4350 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 705,4350 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(705,4350) = 15

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

GCF(705,4350) x common factors =15 x 1 = 15

LCM(705,4350) = ( 705 × 4350 ) / 15

LCM(705,4350) = 3066750 / 15

LCM(705,4350) = 204450


Lets's calculate GCF of 531,3379

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 204450/1

Therefore the LCM of Fractions 705/531,4350/3379 is 204450

Greatest Common Factor of 531,3379 By Matching Biggest Common Factor Method

Greatest Common Factor of 531,3379 By Matching Biggest Common Factor Method

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Factors of 3379

List of positive integer factors of 3379 that divides 3379 without a remainder.

1,31,109,3379

Greatest Common Factor

We found the factors 531,3379 . The biggest common factor number is the GCF number.
So the greatest common factor 531,3379 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 705/531, 4350/3379

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 705/531, 4350/3379?

Answer: LCM of Numerators as per given numbers 705/531, 4350/3379 is

LCM of Numerators i.e. for 705,4350 is 204450

GCF of denominators i.e. for 531,3379 is 1.

Thus, LCM of Fractions is 204450.Finally, LCM of Fractions for 705/531, 4350/3379 is 204450.