Least Common Multiple of 714/100, 935/487, 834/552

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 714/100, 935/487, 834/552 quickly i.e. 5458530 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 714/100, 935/487, 834/552 is 5458530.

LCM(714/100, 935/487, 834/552) = 5458530

LCM of 714/100, 935/487, 834/552

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 714/100,935/487,834/552

Given numbers are 714/100,935/487,834/552

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 714,935,834

Least Common Multiple of Numerators i.e. LCM of 714,935,834 is 5458530.

GCF of Denominators means GCF of 100,487,552 as per the given fractions.

GCF of 100,487,552 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 714,935,834

LCM of Fractions 714/100,935/487,834/552 is 5458530

2 714, 935, 834
3 357, 935, 417
17 119, 935, 139
7, 55, 139

∴ So the LCM of the given numbers is 2 x 3 x 17 x 7 x 55 x 139 = 5458530

Least Common Multiple of 714,935,834 with GCF Formula

Least Common Multiple of 714,935,834 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 714,935,834 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(714,935,834) = 1

common factors(in case of two or more numbers have common factors) = 102

GCF(714,935,834) x common factors =1 x 102 = 102

LCM(714,935,834) = ( 714 × 935 × 834 ) / 102

LCM(714,935,834) = 556770060 / 102

LCM(714,935,834) = 5458530


Lets's calculate GCF of 100,487,552

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5458530/1

Therefore the LCM of Fractions 714/100,935/487,834/552 is 5458530

Greatest Common Factor of 100,487,552 By Matching Biggest Common Factor Method

Greatest Common Factor of 100,487,552 By Matching Biggest Common Factor Method

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Factors of 487

List of positive integer factors of 487 that divides 487 without a remainder.

1,487

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Greatest Common Factor

We found the factors 100,487,552 . The biggest common factor number is the GCF number.
So the greatest common factor 100,487,552 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 714/100, 935/487, 834/552

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 714/100, 935/487, 834/552?

Answer: LCM of Numerators as per given numbers 714/100, 935/487, 834/552 is

LCM of Numerators i.e. for 714,935,834 is 5458530

GCF of denominators i.e. for 100,487,552 is 1.

Thus, LCM of Fractions is 5458530.Finally, LCM of Fractions for 714/100, 935/487, 834/552 is 5458530.