Least Common Multiple of 87/716, 769/173, 837/964

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/716, 769/173, 837/964 quickly i.e. 18665937 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/716, 769/173, 837/964 is 18665937.

LCM(87/716, 769/173, 837/964) = 18665937

LCM of 87/716, 769/173, 837/964

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 87/716,769/173,837/964

Given numbers are 87/716,769/173,837/964

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 87,769,837

Least Common Multiple of Numerators i.e. LCM of 87,769,837 is 18665937.

GCF of Denominators means GCF of 716,173,964 as per the given fractions.

GCF of 716,173,964 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,769,837

LCM of Fractions 87/716,769/173,837/964 is 18665937

3 87, 769, 837
29, 769, 279

∴ So the LCM of the given numbers is 3 x 29 x 769 x 279 = 18665937

Least Common Multiple of 87,769,837 with GCF Formula

Least Common Multiple of 87,769,837 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 87,769,837 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,769,837) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(87,769,837) x common factors =1 x 3 = 3

LCM(87,769,837) = ( 87 × 769 × 837 ) / 3

LCM(87,769,837) = 55997811 / 3

LCM(87,769,837) = 18665937


Lets's calculate GCF of 716,173,964

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18665937/1

Therefore the LCM of Fractions 87/716,769/173,837/964 is 18665937

Greatest Common Factor of 716,173,964 By Matching Biggest Common Factor Method

Greatest Common Factor of 716,173,964 By Matching Biggest Common Factor Method

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Factors of 173

List of positive integer factors of 173 that divides 173 without a remainder.

1,173

Factors of 964

List of positive integer factors of 964 that divides 964 without a remainder.

1,2,4,241,482,964

Greatest Common Factor

We found the factors 716,173,964 . The biggest common factor number is the GCF number.
So the greatest common factor 716,173,964 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 87/716, 769/173, 837/964

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 87/716, 769/173, 837/964?

Answer: LCM of Numerators as per given numbers 87/716, 769/173, 837/964 is

LCM of Numerators i.e. for 87,769,837 is 18665937

GCF of denominators i.e. for 716,173,964 is 1.

Thus, LCM of Fractions is 18665937.Finally, LCM of Fractions for 87/716, 769/173, 837/964 is 18665937.