Least Common Multiple of 32/753, 36/925, 740/964

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/753, 36/925, 740/964 quickly i.e. 53280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/753, 36/925, 740/964 is 53280.

LCM(32/753, 36/925, 740/964) = 53280

LCM of 32/753, 36/925, 740/964

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 32/753,36/925,740/964

Given numbers are 32/753,36/925,740/964

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 32,36,740

Least Common Multiple of Numerators i.e. LCM of 32,36,740 is 53280.

GCF of Denominators means GCF of 753,925,964 as per the given fractions.

GCF of 753,925,964 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,36,740

LCM of Fractions 32/753,36/925,740/964 is 53280

2 32, 36, 740
2 16, 18, 370
8, 9, 185

∴ So the LCM of the given numbers is 2 x 2 x 8 x 9 x 185 = 53280

Least Common Multiple of 32,36,740 with GCF Formula

Least Common Multiple of 32,36,740 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 32,36,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,36,740) = 4

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

GCF(32,36,740) x common factors =4 x 4 = 16

LCM(32,36,740) = ( 32 × 36 × 740 ) / 16

LCM(32,36,740) = 852480 / 16

LCM(32,36,740) = 53280


Lets's calculate GCF of 753,925,964

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53280/1

Therefore the LCM of Fractions 32/753,36/925,740/964 is 53280

Greatest Common Factor of 753,925,964 By Matching Biggest Common Factor Method

Greatest Common Factor of 753,925,964 By Matching Biggest Common Factor Method

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1,3,251,753

Factors of 925

List of positive integer factors of 925 that divides 925 without a remainder.

1,5,25,37,185,925

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 753,925,964 . The biggest common factor number is the GCF number.
So the greatest common factor 753,925,964 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 32/753, 36/925, 740/964

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 32/753, 36/925, 740/964?

Answer: LCM of Numerators as per given numbers 32/753, 36/925, 740/964 is

LCM of Numerators i.e. for 32,36,740 is 53280

GCF of denominators i.e. for 753,925,964 is 1.

Thus, LCM of Fractions is 53280.Finally, LCM of Fractions for 32/753, 36/925, 740/964 is 53280.