Least Common Multiple of 505/716, 752/736, 975/258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 505/716, 752/736, 975/258 quickly i.e. 37026600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 505/716, 752/736, 975/258 is 37026600.

LCM(505/716, 752/736, 975/258) = 37026600

LCM of 505/716, 752/736, 975/258

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 505/716,752/736,975/258

Given numbers are 505/716,752/736,975/258

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 505,752,975

Least Common Multiple of Numerators i.e. LCM of 505,752,975 is 74053200.

GCF of Denominators means GCF of 716,736,258 as per the given fractions.

GCF of 716,736,258 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 505,752,975

LCM of Fractions 505/716,752/736,975/258 is 37026600

5 505, 752, 975
101, 752, 195

∴ So the LCM of the given numbers is 5 x 101 x 752 x 195 = 74053200

Least Common Multiple of 505,752,975 with GCF Formula

Least Common Multiple of 505,752,975 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 505,752,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(505,752,975) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(505,752,975) x common factors =1 x 5 = 5

LCM(505,752,975) = ( 505 × 752 × 975 ) / 5

LCM(505,752,975) = 370266000 / 5

LCM(505,752,975) = 74053200


Lets's calculate GCF of 716,736,258

2 716, 736, 258
358, 368, 129

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74053200/2

Therefore the LCM of Fractions 505/716,752/736,975/258 is 37026600

Greatest Common Factor of 716,736,258 By Matching Biggest Common Factor Method

Greatest Common Factor of 716,736,258 By Matching Biggest Common Factor Method

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Factors of 258

List of positive integer factors of 258 that divides 258 without a remainder.

1,2,3,6,43,86,129,258

Greatest Common Factor

We found the factors 716,736,258 . The biggest common factor number is the GCF number.
So the greatest common factor 716,736,258 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 505/716, 752/736, 975/258

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 505/716, 752/736, 975/258?

Answer: LCM of Numerators as per given numbers 505/716, 752/736, 975/258 is

LCM of Numerators i.e. for 505,752,975 is 74053200

GCF of denominators i.e. for 716,736,258 is 2.

Thus, LCM of Fractions is 37026600.Finally, LCM of Fractions for 505/716, 752/736, 975/258 is 37026600.