Least Common Multiple of 964/78, 450/80, 865/870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 964/78, 450/80, 865/870 quickly i.e. 18761850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 964/78, 450/80, 865/870 is 18761850.

LCM(964/78, 450/80, 865/870) = 18761850

LCM of 964/78, 450/80, 865/870

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 964/78,450/80,865/870

Given numbers are 964/78,450/80,865/870

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 964,450,865

Least Common Multiple of Numerators i.e. LCM of 964,450,865 is 37523700.

GCF of Denominators means GCF of 78,80,870 as per the given fractions.

GCF of 78,80,870 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 964,450,865

LCM of Fractions 964/78,450/80,865/870 is 18761850

2 964, 450, 865
5 482, 225, 865
482, 45, 173

∴ So the LCM of the given numbers is 2 x 5 x 482 x 45 x 173 = 37523700

Least Common Multiple of 964,450,865 with GCF Formula

Least Common Multiple of 964,450,865 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 964,450,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(964,450,865) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(964,450,865) x common factors =1 x 10 = 10

LCM(964,450,865) = ( 964 × 450 × 865 ) / 10

LCM(964,450,865) = 375237000 / 10

LCM(964,450,865) = 37523700


Lets's calculate GCF of 78,80,870

2 78, 80, 870
39, 40, 435

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37523700/2

Therefore the LCM of Fractions 964/78,450/80,865/870 is 18761850

Greatest Common Factor of 78,80,870 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,80,870 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Greatest Common Factor

We found the factors 78,80,870 . The biggest common factor number is the GCF number.
So the greatest common factor 78,80,870 is 2.


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 964/78, 450/80, 865/870

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 964/78, 450/80, 865/870?

Answer: LCM of Numerators as per given numbers 964/78, 450/80, 865/870 is

LCM of Numerators i.e. for 964,450,865 is 37523700

GCF of denominators i.e. for 78,80,870 is 2.

Thus, LCM of Fractions is 18761850.Finally, LCM of Fractions for 964/78, 450/80, 865/870 is 18761850.