Least Common Multiple of 69/84, 37/86, 97/50, 40/850

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 69/84, 37/86, 97/50, 40/850 quickly i.e. 4952820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/84, 37/86, 97/50, 40/850 is 4952820.

LCM(69/84, 37/86, 97/50, 40/850) = 4952820

LCM of 69/84, 37/86, 97/50, 40/850

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 69/84,37/86,97/50,40/850

Given numbers are 69/84,37/86,97/50,40/850

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 69,37,97,40

Least Common Multiple of Numerators i.e. LCM of 69,37,97,40 is 9905640.

GCF of Denominators means GCF of 84,86,50,850 as per the given fractions.

GCF of 84,86,50,850 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,37,97,40

LCM of Fractions 69/84,37/86,97/50,40/850 is 4952820

Given numbers has no common factors except 1. So, there LCM is their product i.e 9905640

Least Common Multiple of 69,37,97,40 with GCF Formula

Least Common Multiple of 69,37,97,40 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 69,37,97,40 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,37,97,40) = 1

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

GCF(69,37,97,40) x common factors =1 x 1 = 1

LCM(69,37,97,40) = ( 69 × 37 × 97 × 40 ) / 1

LCM(69,37,97,40) = 9905640 / 1

LCM(69,37,97,40) = 9905640


Lets's calculate GCF of 84,86,50,850

2 84, 86, 50, 850
42, 43, 25, 425

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9905640/2

Therefore the LCM of Fractions 69/84,37/86,97/50,40/850 is 4952820

Greatest Common Factor of 84,86,50,850 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,86,50,850 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

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

Greatest Common Factor

We found the factors 84,86,50,850 . The biggest common factor number is the GCF number.
So the greatest common factor 84,86,50,850 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 69/84, 37/86, 97/50, 40/850

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 69/84, 37/86, 97/50, 40/850?

Answer: LCM of Numerators as per given numbers 69/84, 37/86, 97/50, 40/850 is

LCM of Numerators i.e. for 69,37,97,40 is 9905640

GCF of denominators i.e. for 84,86,50,850 is 2.

Thus, LCM of Fractions is 4952820.Finally, LCM of Fractions for 69/84, 37/86, 97/50, 40/850 is 4952820.