Least Common Multiple of 705/85, 748/9160

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 705/85, 748/9160 quickly i.e. 105468 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 705/85, 748/9160 is 105468.

LCM(705/85, 748/9160) = 105468

LCM of 705/85, 748/9160

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 705/85,748/9160

Given numbers are 705/85,748/9160

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 705,748

Least Common Multiple of Numerators i.e. LCM of 705,748 is 527340.

GCF of Denominators means GCF of 85,9160 as per the given fractions.

GCF of 85,9160 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 705,748

LCM of Fractions 705/85,748/9160 is 105468

Given numbers has no common factors except 1. So, there LCM is their product i.e 527340

Least Common Multiple of 705,748 with GCF Formula

Least Common Multiple of 705,748 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 705,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(705,748) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(705,748) x common factors =1 x 1 = 1

LCM(705,748) = ( 705 × 748 ) / 1

LCM(705,748) = 527340 / 1

LCM(705,748) = 527340


Lets's calculate GCF of 85,9160

5 85, 9160
17, 1832

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 527340/5

Therefore the LCM of Fractions 705/85,748/9160 is 105468

Greatest Common Factor of 85,9160 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,9160 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 9160

List of positive integer factors of 9160 that divides 9160 without a remainder.

1,2,4,5,8,10,20,40,229,458,916,1145,1832,2290,4580,9160

Greatest Common Factor

We found the factors 85,9160 . The biggest common factor number is the GCF number.
So the greatest common factor 85,9160 is 5.


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 705/85, 748/9160

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 705/85, 748/9160?

Answer: LCM of Numerators as per given numbers 705/85, 748/9160 is

LCM of Numerators i.e. for 705,748 is 527340

GCF of denominators i.e. for 85,9160 is 5.

Thus, LCM of Fractions is 105468.Finally, LCM of Fractions for 705/85, 748/9160 is 105468.