Least Common Multiple of 32/70, 700/99, 738/117

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/70, 700/99, 738/117 quickly i.e. 2066400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/70, 700/99, 738/117 is 2066400.

LCM(32/70, 700/99, 738/117) = 2066400

LCM of 32/70, 700/99, 738/117

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 32/70,700/99,738/117

Given numbers are 32/70,700/99,738/117

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 32,700,738

Least Common Multiple of Numerators i.e. LCM of 32,700,738 is 2066400.

GCF of Denominators means GCF of 70,99,117 as per the given fractions.

GCF of 70,99,117 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,700,738

LCM of Fractions 32/70,700/99,738/117 is 2066400

2 32, 700, 738
2 16, 350, 369
8, 175, 369

∴ So the LCM of the given numbers is 2 x 2 x 8 x 175 x 369 = 2066400

Least Common Multiple of 32,700,738 with GCF Formula

Least Common Multiple of 32,700,738 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 32,700,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,700,738) = 2

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

GCF(32,700,738) x common factors =2 x 4 = 8

LCM(32,700,738) = ( 32 × 700 × 738 ) / 8

LCM(32,700,738) = 16531200 / 8

LCM(32,700,738) = 2066400


Lets's calculate GCF of 70,99,117

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2066400/1

Therefore the LCM of Fractions 32/70,700/99,738/117 is 2066400

Greatest Common Factor of 70,99,117 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,99,117 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1,3,9,13,39,117

Greatest Common Factor

We found the factors 70,99,117 . The biggest common factor number is the GCF number.
So the greatest common factor 70,99,117 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 32/70, 700/99, 738/117

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 32/70, 700/99, 738/117?

Answer: LCM of Numerators as per given numbers 32/70, 700/99, 738/117 is

LCM of Numerators i.e. for 32,700,738 is 2066400

GCF of denominators i.e. for 70,99,117 is 1.

Thus, LCM of Fractions is 2066400.Finally, LCM of Fractions for 32/70, 700/99, 738/117 is 2066400.