Least Common Multiple of 1210/973, 5284/417

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1210/973, 5284/417 quickly i.e. 3196820/139 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1210/973, 5284/417 is 3196820/139.

LCM(1210/973, 5284/417) = 3196820/139

LCM of 1210/973, 5284/417

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 1210/973,5284/417

Given numbers are 1210/973,5284/417

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 1210,5284

Least Common Multiple of Numerators i.e. LCM of 1210,5284 is 3196820.

GCF of Denominators means GCF of 973,417 as per the given fractions.

GCF of 973,417 is 139 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1210,5284

LCM of Fractions 1210/973,5284/417 is 3196820/139

2 1210, 5284
605, 2642

∴ So the LCM of the given numbers is 2 x 605 x 2642 = 3196820

Least Common Multiple of 1210,5284 with GCF Formula

Least Common Multiple of 1210,5284 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 1210,5284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1210,5284) = 2

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

GCF(1210,5284) x common factors =2 x 1 = 2

LCM(1210,5284) = ( 1210 × 5284 ) / 2

LCM(1210,5284) = 6393640 / 2

LCM(1210,5284) = 3196820


Lets's calculate GCF of 973,417

139 973, 417
7, 3

∴ So the GCF of the given numbers is 139 = 139

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3196820/139

Therefore the LCM of Fractions 1210/973,5284/417 is 3196820/139

Greatest Common Factor of 973,417 By Matching Biggest Common Factor Method

Greatest Common Factor of 973,417 By Matching Biggest Common Factor Method

Factors of 973

List of positive integer factors of 973 that divides 973 without a remainder.

1,7,139,973

Factors of 417

List of positive integer factors of 417 that divides 417 without a remainder.

1,3,139,417

Greatest Common Factor

We found the factors 973,417 . The biggest common factor number is the GCF number.
So the greatest common factor 973,417 is 139.


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 1210/973, 5284/417

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 1210/973, 5284/417?

Answer: LCM of Numerators as per given numbers 1210/973, 5284/417 is

LCM of Numerators i.e. for 1210,5284 is 3196820

GCF of denominators i.e. for 973,417 is 139.

Thus, LCM of Fractions is 3196820/139.Finally, LCM of Fractions for 1210/973, 5284/417 is 3196820/139.