Least Common Multiple of 59/705, 598/982, 850/685

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/705, 598/982, 850/685 quickly i.e. 14994850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/705, 598/982, 850/685 is 14994850.

LCM(59/705, 598/982, 850/685) = 14994850

LCM of 59/705, 598/982, 850/685

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 59/705,598/982,850/685

Given numbers are 59/705,598/982,850/685

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 59,598,850

Least Common Multiple of Numerators i.e. LCM of 59,598,850 is 14994850.

GCF of Denominators means GCF of 705,982,685 as per the given fractions.

GCF of 705,982,685 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,598,850

LCM of Fractions 59/705,598/982,850/685 is 14994850

2 59, 598, 850
59, 299, 425

∴ So the LCM of the given numbers is 2 x 59 x 299 x 425 = 14994850

Least Common Multiple of 59,598,850 with GCF Formula

Least Common Multiple of 59,598,850 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 59,598,850 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,598,850) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(59,598,850) x common factors =1 x 2 = 2

LCM(59,598,850) = ( 59 × 598 × 850 ) / 2

LCM(59,598,850) = 29989700 / 2

LCM(59,598,850) = 14994850


Lets's calculate GCF of 705,982,685

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14994850/1

Therefore the LCM of Fractions 59/705,598/982,850/685 is 14994850

Greatest Common Factor of 705,982,685 By Matching Biggest Common Factor Method

Greatest Common Factor of 705,982,685 By Matching Biggest Common Factor Method

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Factors of 982

List of positive integer factors of 982 that divides 982 without a remainder.

1,2,491,982

Factors of 685

List of positive integer factors of 685 that divides 685 without a remainder.

1,5,137,685

Greatest Common Factor

We found the factors 705,982,685 . The biggest common factor number is the GCF number.
So the greatest common factor 705,982,685 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 59/705, 598/982, 850/685

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 59/705, 598/982, 850/685?

Answer: LCM of Numerators as per given numbers 59/705, 598/982, 850/685 is

LCM of Numerators i.e. for 59,598,850 is 14994850

GCF of denominators i.e. for 705,982,685 is 1.

Thus, LCM of Fractions is 14994850.Finally, LCM of Fractions for 59/705, 598/982, 850/685 is 14994850.