Least Common Multiple of 85/74, 510/44, 712/525

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/74, 510/44, 712/525 quickly i.e. 181560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/74, 510/44, 712/525 is 181560.

LCM(85/74, 510/44, 712/525) = 181560

LCM of 85/74, 510/44, 712/525

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 85/74,510/44,712/525

Given numbers are 85/74,510/44,712/525

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 85,510,712

Least Common Multiple of Numerators i.e. LCM of 85,510,712 is 181560.

GCF of Denominators means GCF of 74,44,525 as per the given fractions.

GCF of 74,44,525 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,510,712

LCM of Fractions 85/74,510/44,712/525 is 181560

2 85, 510, 712
5 85, 255, 356
17 17, 51, 356
1, 3, 356

∴ So the LCM of the given numbers is 2 x 5 x 17 x 1 x 3 x 356 = 181560

Least Common Multiple of 85,510,712 with GCF Formula

Least Common Multiple of 85,510,712 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 85,510,712 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,510,712) = 1

common factors(in case of two or more numbers have common factors) = 170

GCF(85,510,712) x common factors =1 x 170 = 170

LCM(85,510,712) = ( 85 × 510 × 712 ) / 170

LCM(85,510,712) = 30865200 / 170

LCM(85,510,712) = 181560


Lets's calculate GCF of 74,44,525

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 181560/1

Therefore the LCM of Fractions 85/74,510/44,712/525 is 181560

Greatest Common Factor of 74,44,525 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,44,525 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 525

List of positive integer factors of 525 that divides 525 without a remainder.

1,3,5,7,15,21,25,35,75,105,175,525

Greatest Common Factor

We found the factors 74,44,525 . The biggest common factor number is the GCF number.
So the greatest common factor 74,44,525 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 85/74, 510/44, 712/525

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 85/74, 510/44, 712/525?

Answer: LCM of Numerators as per given numbers 85/74, 510/44, 712/525 is

LCM of Numerators i.e. for 85,510,712 is 181560

GCF of denominators i.e. for 74,44,525 is 1.

Thus, LCM of Fractions is 181560.Finally, LCM of Fractions for 85/74, 510/44, 712/525 is 181560.