Least Common Multiple of 9867/850, 3559/306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9867/850, 3559/306 quickly i.e. 35116653/34 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9867/850, 3559/306 is 35116653/34.

LCM(9867/850, 3559/306) = 35116653/34

LCM of 9867/850, 3559/306

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 9867/850,3559/306

Given numbers are 9867/850,3559/306

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 9867,3559

Least Common Multiple of Numerators i.e. LCM of 9867,3559 is 35116653.

GCF of Denominators means GCF of 850,306 as per the given fractions.

GCF of 850,306 is 34 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9867,3559

LCM of Fractions 9867/850,3559/306 is 35116653/34

Given numbers has no common factors except 1. So, there LCM is their product i.e 35116653

Least Common Multiple of 9867,3559 with GCF Formula

Least Common Multiple of 9867,3559 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 9867,3559 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9867,3559) = 1

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

GCF(9867,3559) x common factors =1 x 1 = 1

LCM(9867,3559) = ( 9867 × 3559 ) / 1

LCM(9867,3559) = 35116653 / 1

LCM(9867,3559) = 35116653


Lets's calculate GCF of 850,306

2 850, 306
17 425, 153
25, 9

∴ So the GCF of the given numbers is 2 x 17 = 34

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35116653/34

Therefore the LCM of Fractions 9867/850,3559/306 is 35116653/34

Greatest Common Factor of 850,306 By Matching Biggest Common Factor Method

Greatest Common Factor of 850,306 By Matching Biggest Common Factor Method

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1,2,5,10,17,25,34,50,85,170,425,850

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Greatest Common Factor

We found the factors 850,306 . The biggest common factor number is the GCF number.
So the greatest common factor 850,306 is 34.


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 9867/850, 3559/306

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 9867/850, 3559/306?

Answer: LCM of Numerators as per given numbers 9867/850, 3559/306 is

LCM of Numerators i.e. for 9867,3559 is 35116653

GCF of denominators i.e. for 850,306 is 34.

Thus, LCM of Fractions is 35116653/34.Finally, LCM of Fractions for 9867/850, 3559/306 is 35116653/34.