Least Common Multiple of 70/302, 365/472, 882/470

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/302, 365/472, 882/470 quickly i.e. 160965 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/302, 365/472, 882/470 is 160965.

LCM(70/302, 365/472, 882/470) = 160965

LCM of 70/302, 365/472, 882/470

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 70/302,365/472,882/470

Given numbers are 70/302,365/472,882/470

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 70,365,882

Least Common Multiple of Numerators i.e. LCM of 70,365,882 is 321930.

GCF of Denominators means GCF of 302,472,470 as per the given fractions.

GCF of 302,472,470 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,365,882

LCM of Fractions 70/302,365/472,882/470 is 160965

2 70, 365, 882
5 35, 365, 441
7 7, 73, 441
1, 73, 63

∴ So the LCM of the given numbers is 2 x 5 x 7 x 1 x 73 x 63 = 321930

Least Common Multiple of 70,365,882 with GCF Formula

Least Common Multiple of 70,365,882 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 70,365,882 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,365,882) = 1

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

GCF(70,365,882) x common factors =1 x 70 = 70

LCM(70,365,882) = ( 70 × 365 × 882 ) / 70

LCM(70,365,882) = 22535100 / 70

LCM(70,365,882) = 321930


Lets's calculate GCF of 302,472,470

2 302, 472, 470
151, 236, 235

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 321930/2

Therefore the LCM of Fractions 70/302,365/472,882/470 is 160965

Greatest Common Factor of 302,472,470 By Matching Biggest Common Factor Method

Greatest Common Factor of 302,472,470 By Matching Biggest Common Factor Method

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Factors of 472

List of positive integer factors of 472 that divides 472 without a remainder.

1,2,4,8,59,118,236,472

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Greatest Common Factor

We found the factors 302,472,470 . The biggest common factor number is the GCF number.
So the greatest common factor 302,472,470 is 2.


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 70/302, 365/472, 882/470

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 70/302, 365/472, 882/470?

Answer: LCM of Numerators as per given numbers 70/302, 365/472, 882/470 is

LCM of Numerators i.e. for 70,365,882 is 321930

GCF of denominators i.e. for 302,472,470 is 2.

Thus, LCM of Fractions is 160965.Finally, LCM of Fractions for 70/302, 365/472, 882/470 is 160965.