Least Common Multiple of 45/719, 764/936, 688/240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/719, 764/936, 688/240 quickly i.e. 5913360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/719, 764/936, 688/240 is 5913360.

LCM(45/719, 764/936, 688/240) = 5913360

LCM of 45/719, 764/936, 688/240

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 45/719,764/936,688/240

Given numbers are 45/719,764/936,688/240

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 45,764,688

Least Common Multiple of Numerators i.e. LCM of 45,764,688 is 5913360.

GCF of Denominators means GCF of 719,936,240 as per the given fractions.

GCF of 719,936,240 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,764,688

LCM of Fractions 45/719,764/936,688/240 is 5913360

2 45, 764, 688
2 45, 382, 344
45, 191, 172

∴ So the LCM of the given numbers is 2 x 2 x 45 x 191 x 172 = 5913360

Least Common Multiple of 45,764,688 with GCF Formula

Least Common Multiple of 45,764,688 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 45,764,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,764,688) = 1

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

GCF(45,764,688) x common factors =1 x 4 = 4

LCM(45,764,688) = ( 45 × 764 × 688 ) / 4

LCM(45,764,688) = 23653440 / 4

LCM(45,764,688) = 5913360


Lets's calculate GCF of 719,936,240

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5913360/1

Therefore the LCM of Fractions 45/719,764/936,688/240 is 5913360

Greatest Common Factor of 719,936,240 By Matching Biggest Common Factor Method

Greatest Common Factor of 719,936,240 By Matching Biggest Common Factor Method

Factors of 719

List of positive integer factors of 719 that divides 719 without a remainder.

1,719

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Greatest Common Factor

We found the factors 719,936,240 . The biggest common factor number is the GCF number.
So the greatest common factor 719,936,240 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 45/719, 764/936, 688/240

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 45/719, 764/936, 688/240?

Answer: LCM of Numerators as per given numbers 45/719, 764/936, 688/240 is

LCM of Numerators i.e. for 45,764,688 is 5913360

GCF of denominators i.e. for 719,936,240 is 1.

Thus, LCM of Fractions is 5913360.Finally, LCM of Fractions for 45/719, 764/936, 688/240 is 5913360.