Least Common Multiple of 710/354, 505/539, 111/459

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 710/354, 505/539, 111/459 quickly i.e. 7959810 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 710/354, 505/539, 111/459 is 7959810.

LCM(710/354, 505/539, 111/459) = 7959810

LCM of 710/354, 505/539, 111/459

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 710/354,505/539,111/459

Given numbers are 710/354,505/539,111/459

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 710,505,111

Least Common Multiple of Numerators i.e. LCM of 710,505,111 is 7959810.

GCF of Denominators means GCF of 354,539,459 as per the given fractions.

GCF of 354,539,459 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 710,505,111

LCM of Fractions 710/354,505/539,111/459 is 7959810

5 710, 505, 111
142, 101, 111

∴ So the LCM of the given numbers is 5 x 142 x 101 x 111 = 7959810

Least Common Multiple of 710,505,111 with GCF Formula

Least Common Multiple of 710,505,111 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 710,505,111 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(710,505,111) = 1

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

GCF(710,505,111) x common factors =1 x 5 = 5

LCM(710,505,111) = ( 710 × 505 × 111 ) / 5

LCM(710,505,111) = 39799050 / 5

LCM(710,505,111) = 7959810


Lets's calculate GCF of 354,539,459

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7959810/1

Therefore the LCM of Fractions 710/354,505/539,111/459 is 7959810

Greatest Common Factor of 354,539,459 By Matching Biggest Common Factor Method

Greatest Common Factor of 354,539,459 By Matching Biggest Common Factor Method

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Factors of 539

List of positive integer factors of 539 that divides 539 without a remainder.

1,7,11,49,77,539

Factors of 459

List of positive integer factors of 459 that divides 459 without a remainder.

1,3,9,17,27,51,153,459

Greatest Common Factor

We found the factors 354,539,459 . The biggest common factor number is the GCF number.
So the greatest common factor 354,539,459 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 710/354, 505/539, 111/459

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 710/354, 505/539, 111/459?

Answer: LCM of Numerators as per given numbers 710/354, 505/539, 111/459 is

LCM of Numerators i.e. for 710,505,111 is 7959810

GCF of denominators i.e. for 354,539,459 is 1.

Thus, LCM of Fractions is 7959810.Finally, LCM of Fractions for 710/354, 505/539, 111/459 is 7959810.