Least Common Multiple of 465/519, 273/896, 702/657

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 465/519, 273/896, 702/657 quickly i.e. 761670 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 465/519, 273/896, 702/657 is 761670.

LCM(465/519, 273/896, 702/657) = 761670

LCM of 465/519, 273/896, 702/657

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 465/519,273/896,702/657

Given numbers are 465/519,273/896,702/657

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 465,273,702

Least Common Multiple of Numerators i.e. LCM of 465,273,702 is 761670.

GCF of Denominators means GCF of 519,896,657 as per the given fractions.

GCF of 519,896,657 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 465,273,702

LCM of Fractions 465/519,273/896,702/657 is 761670

3 465, 273, 702
13 155, 91, 234
155, 7, 18

∴ So the LCM of the given numbers is 3 x 13 x 155 x 7 x 18 = 761670

Least Common Multiple of 465,273,702 with GCF Formula

Least Common Multiple of 465,273,702 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 465,273,702 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(465,273,702) = 3

common factors(in case of two or more numbers have common factors) = 39

GCF(465,273,702) x common factors =3 x 39 = 117

LCM(465,273,702) = ( 465 × 273 × 702 ) / 117

LCM(465,273,702) = 89115390 / 117

LCM(465,273,702) = 761670


Lets's calculate GCF of 519,896,657

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 761670/1

Therefore the LCM of Fractions 465/519,273/896,702/657 is 761670

Greatest Common Factor of 519,896,657 By Matching Biggest Common Factor Method

Greatest Common Factor of 519,896,657 By Matching Biggest Common Factor Method

Factors of 519

List of positive integer factors of 519 that divides 519 without a remainder.

1,3,173,519

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Factors of 657

List of positive integer factors of 657 that divides 657 without a remainder.

1,3,9,73,219,657

Greatest Common Factor

We found the factors 519,896,657 . The biggest common factor number is the GCF number.
So the greatest common factor 519,896,657 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 465/519, 273/896, 702/657

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 465/519, 273/896, 702/657?

Answer: LCM of Numerators as per given numbers 465/519, 273/896, 702/657 is

LCM of Numerators i.e. for 465,273,702 is 761670

GCF of denominators i.e. for 519,896,657 is 1.

Thus, LCM of Fractions is 761670.Finally, LCM of Fractions for 465/519, 273/896, 702/657 is 761670.