Least Common Multiple of 156/75, 890/72, 964/985

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 156/75, 890/72, 964/985 quickly i.e. 16730220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 156/75, 890/72, 964/985 is 16730220.

LCM(156/75, 890/72, 964/985) = 16730220

LCM of 156/75, 890/72, 964/985

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 156/75,890/72,964/985

Given numbers are 156/75,890/72,964/985

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 156,890,964

Least Common Multiple of Numerators i.e. LCM of 156,890,964 is 16730220.

GCF of Denominators means GCF of 75,72,985 as per the given fractions.

GCF of 75,72,985 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 156,890,964

LCM of Fractions 156/75,890/72,964/985 is 16730220

2 156, 890, 964
2 78, 445, 482
39, 445, 241

∴ So the LCM of the given numbers is 2 x 2 x 39 x 445 x 241 = 16730220

Least Common Multiple of 156,890,964 with GCF Formula

Least Common Multiple of 156,890,964 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 156,890,964 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(156,890,964) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(156,890,964) x common factors =2 x 4 = 8

LCM(156,890,964) = ( 156 × 890 × 964 ) / 8

LCM(156,890,964) = 133841760 / 8

LCM(156,890,964) = 16730220


Lets's calculate GCF of 75,72,985

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16730220/1

Therefore the LCM of Fractions 156/75,890/72,964/985 is 16730220

Greatest Common Factor of 75,72,985 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,72,985 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 985

List of positive integer factors of 985 that divides 985 without a remainder.

1,5,197,985

Greatest Common Factor

We found the factors 75,72,985 . The biggest common factor number is the GCF number.
So the greatest common factor 75,72,985 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 156/75, 890/72, 964/985

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 156/75, 890/72, 964/985?

Answer: LCM of Numerators as per given numbers 156/75, 890/72, 964/985 is

LCM of Numerators i.e. for 156,890,964 is 16730220

GCF of denominators i.e. for 75,72,985 is 1.

Thus, LCM of Fractions is 16730220.Finally, LCM of Fractions for 156/75, 890/72, 964/985 is 16730220.