Least Common Multiple of 2914/832, 5080/1970

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2914/832, 5080/1970 quickly i.e. 3700780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2914/832, 5080/1970 is 3700780.

LCM(2914/832, 5080/1970) = 3700780

LCM of 2914/832, 5080/1970

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 2914/832,5080/1970

Given numbers are 2914/832,5080/1970

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 2914,5080

Least Common Multiple of Numerators i.e. LCM of 2914,5080 is 7401560.

GCF of Denominators means GCF of 832,1970 as per the given fractions.

GCF of 832,1970 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2914,5080

LCM of Fractions 2914/832,5080/1970 is 3700780

2 2914, 5080
1457, 2540

∴ So the LCM of the given numbers is 2 x 1457 x 2540 = 7401560

Least Common Multiple of 2914,5080 with GCF Formula

Least Common Multiple of 2914,5080 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 2914,5080 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2914,5080) = 2

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

GCF(2914,5080) x common factors =2 x 1 = 2

LCM(2914,5080) = ( 2914 × 5080 ) / 2

LCM(2914,5080) = 14803120 / 2

LCM(2914,5080) = 7401560


Lets's calculate GCF of 832,1970

2 832, 1970
416, 985

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7401560/2

Therefore the LCM of Fractions 2914/832,5080/1970 is 3700780

Greatest Common Factor of 832,1970 By Matching Biggest Common Factor Method

Greatest Common Factor of 832,1970 By Matching Biggest Common Factor Method

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Factors of 1970

List of positive integer factors of 1970 that divides 1970 without a remainder.

1,2,5,10,197,394,985,1970

Greatest Common Factor

We found the factors 832,1970 . The biggest common factor number is the GCF number.
So the greatest common factor 832,1970 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 2914/832, 5080/1970

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 2914/832, 5080/1970?

Answer: LCM of Numerators as per given numbers 2914/832, 5080/1970 is

LCM of Numerators i.e. for 2914,5080 is 7401560

GCF of denominators i.e. for 832,1970 is 2.

Thus, LCM of Fractions is 3700780.Finally, LCM of Fractions for 2914/832, 5080/1970 is 3700780.