Least Common Multiple of 85/80, 714/94, 849/670

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/80, 714/94, 849/670 quickly i.e. 505155 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/80, 714/94, 849/670 is 505155.

LCM(85/80, 714/94, 849/670) = 505155

LCM of 85/80, 714/94, 849/670

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 85/80,714/94,849/670

Given numbers are 85/80,714/94,849/670

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 85,714,849

Least Common Multiple of Numerators i.e. LCM of 85,714,849 is 1010310.

GCF of Denominators means GCF of 80,94,670 as per the given fractions.

GCF of 80,94,670 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,714,849

LCM of Fractions 85/80,714/94,849/670 is 505155

3 85, 714, 849
17 85, 238, 283
5, 14, 283

∴ So the LCM of the given numbers is 3 x 17 x 5 x 14 x 283 = 1010310

Least Common Multiple of 85,714,849 with GCF Formula

Least Common Multiple of 85,714,849 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 85,714,849 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,714,849) = 1

common factors(in case of two or more numbers have common factors) = 51

GCF(85,714,849) x common factors =1 x 51 = 51

LCM(85,714,849) = ( 85 × 714 × 849 ) / 51

LCM(85,714,849) = 51525810 / 51

LCM(85,714,849) = 1010310


Lets's calculate GCF of 80,94,670

2 80, 94, 670
40, 47, 335

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1010310/2

Therefore the LCM of Fractions 85/80,714/94,849/670 is 505155

Greatest Common Factor of 80,94,670 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,94,670 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Greatest Common Factor

We found the factors 80,94,670 . The biggest common factor number is the GCF number.
So the greatest common factor 80,94,670 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 85/80, 714/94, 849/670

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 85/80, 714/94, 849/670?

Answer: LCM of Numerators as per given numbers 85/80, 714/94, 849/670 is

LCM of Numerators i.e. for 85,714,849 is 1010310

GCF of denominators i.e. for 80,94,670 is 2.

Thus, LCM of Fractions is 505155.Finally, LCM of Fractions for 85/80, 714/94, 849/670 is 505155.