Least Common Multiple of 70/602, 315/738, 256/211

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/602, 315/738, 256/211 quickly i.e. 80640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/602, 315/738, 256/211 is 80640.

LCM(70/602, 315/738, 256/211) = 80640

LCM of 70/602, 315/738, 256/211

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 70/602,315/738,256/211

Given numbers are 70/602,315/738,256/211

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 70,315,256

Least Common Multiple of Numerators i.e. LCM of 70,315,256 is 80640.

GCF of Denominators means GCF of 602,738,211 as per the given fractions.

GCF of 602,738,211 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,315,256

LCM of Fractions 70/602,315/738,256/211 is 80640

2 70, 315, 256
5 35, 315, 128
7 7, 63, 128
1, 9, 128

∴ So the LCM of the given numbers is 2 x 5 x 7 x 1 x 9 x 128 = 80640

Least Common Multiple of 70,315,256 with GCF Formula

Least Common Multiple of 70,315,256 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 70,315,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,315,256) = 1

common factors(in case of two or more numbers have common factors) = 70

GCF(70,315,256) x common factors =1 x 70 = 70

LCM(70,315,256) = ( 70 × 315 × 256 ) / 70

LCM(70,315,256) = 5644800 / 70

LCM(70,315,256) = 80640


Lets's calculate GCF of 602,738,211

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 80640/1

Therefore the LCM of Fractions 70/602,315/738,256/211 is 80640

Greatest Common Factor of 602,738,211 By Matching Biggest Common Factor Method

Greatest Common Factor of 602,738,211 By Matching Biggest Common Factor Method

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

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 602,738,211 . The biggest common factor number is the GCF number.
So the greatest common factor 602,738,211 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 70/602, 315/738, 256/211

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 70/602, 315/738, 256/211?

Answer: LCM of Numerators as per given numbers 70/602, 315/738, 256/211 is

LCM of Numerators i.e. for 70,315,256 is 80640

GCF of denominators i.e. for 602,738,211 is 1.

Thus, LCM of Fractions is 80640.Finally, LCM of Fractions for 70/602, 315/738, 256/211 is 80640.