Least Common Multiple of 70/462, 45/225, 257/439

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/462, 45/225, 257/439 quickly i.e. 161910 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/462, 45/225, 257/439 is 161910.

LCM(70/462, 45/225, 257/439) = 161910

LCM of 70/462, 45/225, 257/439

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 70/462,45/225,257/439

Given numbers are 70/462,45/225,257/439

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 70,45,257

Least Common Multiple of Numerators i.e. LCM of 70,45,257 is 161910.

GCF of Denominators means GCF of 462,225,439 as per the given fractions.

GCF of 462,225,439 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,45,257

LCM of Fractions 70/462,45/225,257/439 is 161910

5 70, 45, 257
14, 9, 257

∴ So the LCM of the given numbers is 5 x 14 x 9 x 257 = 161910

Least Common Multiple of 70,45,257 with GCF Formula

Least Common Multiple of 70,45,257 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 70,45,257 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,45,257) = 1

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

GCF(70,45,257) x common factors =1 x 5 = 5

LCM(70,45,257) = ( 70 × 45 × 257 ) / 5

LCM(70,45,257) = 809550 / 5

LCM(70,45,257) = 161910


Lets's calculate GCF of 462,225,439

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 161910/1

Therefore the LCM of Fractions 70/462,45/225,257/439 is 161910

Greatest Common Factor of 462,225,439 By Matching Biggest Common Factor Method

Greatest Common Factor of 462,225,439 By Matching Biggest Common Factor Method

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Factors of 439

List of positive integer factors of 439 that divides 439 without a remainder.

1,439

Greatest Common Factor

We found the factors 462,225,439 . The biggest common factor number is the GCF number.
So the greatest common factor 462,225,439 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 70/462, 45/225, 257/439

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 70/462, 45/225, 257/439?

Answer: LCM of Numerators as per given numbers 70/462, 45/225, 257/439 is

LCM of Numerators i.e. for 70,45,257 is 161910

GCF of denominators i.e. for 462,225,439 is 1.

Thus, LCM of Fractions is 161910.Finally, LCM of Fractions for 70/462, 45/225, 257/439 is 161910.