Least Common Multiple of 87/35, 53/41, 19/84, 35/964

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/35, 53/41, 19/84, 35/964 quickly i.e. 3066315 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/35, 53/41, 19/84, 35/964 is 3066315.

LCM(87/35, 53/41, 19/84, 35/964) = 3066315

LCM of 87/35, 53/41, 19/84, 35/964

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 87/35,53/41,19/84,35/964

Given numbers are 87/35,53/41,19/84,35/964

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 87,53,19,35

Least Common Multiple of Numerators i.e. LCM of 87,53,19,35 is 3066315.

GCF of Denominators means GCF of 35,41,84,964 as per the given fractions.

GCF of 35,41,84,964 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,53,19,35

LCM of Fractions 87/35,53/41,19/84,35/964 is 3066315

Given numbers has no common factors except 1. So, there LCM is their product i.e 3066315

Least Common Multiple of 87,53,19,35 with GCF Formula

Least Common Multiple of 87,53,19,35 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 87,53,19,35 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,53,19,35) = 1

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

GCF(87,53,19,35) x common factors =1 x 1 = 1

LCM(87,53,19,35) = ( 87 × 53 × 19 × 35 ) / 1

LCM(87,53,19,35) = 3066315 / 1

LCM(87,53,19,35) = 3066315


Lets's calculate GCF of 35,41,84,964

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3066315/1

Therefore the LCM of Fractions 87/35,53/41,19/84,35/964 is 3066315

Greatest Common Factor of 35,41,84,964 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,41,84,964 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

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 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 35,41,84,964 . The biggest common factor number is the GCF number.
So the greatest common factor 35,41,84,964 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 87/35, 53/41, 19/84, 35/964

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 87/35, 53/41, 19/84, 35/964?

Answer: LCM of Numerators as per given numbers 87/35, 53/41, 19/84, 35/964 is

LCM of Numerators i.e. for 87,53,19,35 is 3066315

GCF of denominators i.e. for 35,41,84,964 is 1.

Thus, LCM of Fractions is 3066315.Finally, LCM of Fractions for 87/35, 53/41, 19/84, 35/964 is 3066315.