Least Common Multiple of 70/895, 38/264, 896/892

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/895, 38/264, 896/892 quickly i.e. 85120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/895, 38/264, 896/892 is 85120.

LCM(70/895, 38/264, 896/892) = 85120

LCM of 70/895, 38/264, 896/892

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 70/895,38/264,896/892

Given numbers are 70/895,38/264,896/892

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 70,38,896

Least Common Multiple of Numerators i.e. LCM of 70,38,896 is 85120.

GCF of Denominators means GCF of 895,264,892 as per the given fractions.

GCF of 895,264,892 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,38,896

LCM of Fractions 70/895,38/264,896/892 is 85120

2 70, 38, 896
7 35, 19, 448
5, 19, 64

∴ So the LCM of the given numbers is 2 x 7 x 5 x 19 x 64 = 85120

Least Common Multiple of 70,38,896 with GCF Formula

Least Common Multiple of 70,38,896 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 70,38,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,38,896) = 2

common factors(in case of two or more numbers have common factors) = 14

GCF(70,38,896) x common factors =2 x 14 = 28

LCM(70,38,896) = ( 70 × 38 × 896 ) / 28

LCM(70,38,896) = 2383360 / 28

LCM(70,38,896) = 85120


Lets's calculate GCF of 895,264,892

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 85120/1

Therefore the LCM of Fractions 70/895,38/264,896/892 is 85120

Greatest Common Factor of 895,264,892 By Matching Biggest Common Factor Method

Greatest Common Factor of 895,264,892 By Matching Biggest Common Factor Method

Factors of 895

List of positive integer factors of 895 that divides 895 without a remainder.

1,5,179,895

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Factors of 892

List of positive integer factors of 892 that divides 892 without a remainder.

1,2,4,223,446,892

Greatest Common Factor

We found the factors 895,264,892 . The biggest common factor number is the GCF number.
So the greatest common factor 895,264,892 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 70/895, 38/264, 896/892

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 70/895, 38/264, 896/892?

Answer: LCM of Numerators as per given numbers 70/895, 38/264, 896/892 is

LCM of Numerators i.e. for 70,38,896 is 85120

GCF of denominators i.e. for 895,264,892 is 1.

Thus, LCM of Fractions is 85120.Finally, LCM of Fractions for 70/895, 38/264, 896/892 is 85120.