Least Common Multiple of 708/57, 5014/210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 708/57, 5014/210 quickly i.e. 591652 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 708/57, 5014/210 is 591652.

LCM(708/57, 5014/210) = 591652

LCM of 708/57, 5014/210

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 708/57,5014/210

Given numbers are 708/57,5014/210

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 708,5014

Least Common Multiple of Numerators i.e. LCM of 708,5014 is 1774956.

GCF of Denominators means GCF of 57,210 as per the given fractions.

GCF of 57,210 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 708,5014

LCM of Fractions 708/57,5014/210 is 591652

2 708, 5014
354, 2507

∴ So the LCM of the given numbers is 2 x 354 x 2507 = 1774956

Least Common Multiple of 708,5014 with GCF Formula

Least Common Multiple of 708,5014 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 708,5014 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(708,5014) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(708,5014) x common factors =2 x 1 = 2

LCM(708,5014) = ( 708 × 5014 ) / 2

LCM(708,5014) = 3549912 / 2

LCM(708,5014) = 1774956


Lets's calculate GCF of 57,210

3 57, 210
19, 70

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1774956/3

Therefore the LCM of Fractions 708/57,5014/210 is 591652

Greatest Common Factor of 57,210 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,210 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Greatest Common Factor

We found the factors 57,210 . The biggest common factor number is the GCF number.
So the greatest common factor 57,210 is 3.


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 708/57, 5014/210

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 708/57, 5014/210?

Answer: LCM of Numerators as per given numbers 708/57, 5014/210 is

LCM of Numerators i.e. for 708,5014 is 1774956

GCF of denominators i.e. for 57,210 is 3.

Thus, LCM of Fractions is 591652.Finally, LCM of Fractions for 708/57, 5014/210 is 591652.