Least Common Multiple of 44/70, 971/80, 730/648

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/70, 971/80, 730/648 quickly i.e. 7797130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/70, 971/80, 730/648 is 7797130.

LCM(44/70, 971/80, 730/648) = 7797130

LCM of 44/70, 971/80, 730/648

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 44/70,971/80,730/648

Given numbers are 44/70,971/80,730/648

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 44,971,730

Least Common Multiple of Numerators i.e. LCM of 44,971,730 is 15594260.

GCF of Denominators means GCF of 70,80,648 as per the given fractions.

GCF of 70,80,648 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,971,730

LCM of Fractions 44/70,971/80,730/648 is 7797130

2 44, 971, 730
22, 971, 365

∴ So the LCM of the given numbers is 2 x 22 x 971 x 365 = 15594260

Least Common Multiple of 44,971,730 with GCF Formula

Least Common Multiple of 44,971,730 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 44,971,730 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,971,730) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(44,971,730) x common factors =1 x 2 = 2

LCM(44,971,730) = ( 44 × 971 × 730 ) / 2

LCM(44,971,730) = 31188520 / 2

LCM(44,971,730) = 15594260


Lets's calculate GCF of 70,80,648

2 70, 80, 648
35, 40, 324

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15594260/2

Therefore the LCM of Fractions 44/70,971/80,730/648 is 7797130

Greatest Common Factor of 70,80,648 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,80,648 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 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 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Greatest Common Factor

We found the factors 70,80,648 . The biggest common factor number is the GCF number.
So the greatest common factor 70,80,648 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 44/70, 971/80, 730/648

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 44/70, 971/80, 730/648?

Answer: LCM of Numerators as per given numbers 44/70, 971/80, 730/648 is

LCM of Numerators i.e. for 44,971,730 is 15594260

GCF of denominators i.e. for 70,80,648 is 2.

Thus, LCM of Fractions is 7797130.Finally, LCM of Fractions for 44/70, 971/80, 730/648 is 7797130.