Least Common Multiple of 9070/962, 2920/3809

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9070/962, 2920/3809 quickly i.e. 2648440/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9070/962, 2920/3809 is 2648440/13.

LCM(9070/962, 2920/3809) = 2648440/13

LCM of 9070/962, 2920/3809

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 9070/962,2920/3809

Given numbers are 9070/962,2920/3809

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 9070,2920

Least Common Multiple of Numerators i.e. LCM of 9070,2920 is 2648440.

GCF of Denominators means GCF of 962,3809 as per the given fractions.

GCF of 962,3809 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9070,2920

LCM of Fractions 9070/962,2920/3809 is 2648440/13

2 9070, 2920
5 4535, 1460
907, 292

∴ So the LCM of the given numbers is 2 x 5 x 907 x 292 = 2648440

Least Common Multiple of 9070,2920 with GCF Formula

Least Common Multiple of 9070,2920 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 9070,2920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9070,2920) = 10

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

GCF(9070,2920) x common factors =10 x 1 = 10

LCM(9070,2920) = ( 9070 × 2920 ) / 10

LCM(9070,2920) = 26484400 / 10

LCM(9070,2920) = 2648440


Lets's calculate GCF of 962,3809

13 962, 3809
74, 293

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2648440/13

Therefore the LCM of Fractions 9070/962,2920/3809 is 2648440/13

Greatest Common Factor of 962,3809 By Matching Biggest Common Factor Method

Greatest Common Factor of 962,3809 By Matching Biggest Common Factor Method

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1,2,13,26,37,74,481,962

Factors of 3809

List of positive integer factors of 3809 that divides 3809 without a remainder.

1,13,293,3809

Greatest Common Factor

We found the factors 962,3809 . The biggest common factor number is the GCF number.
So the greatest common factor 962,3809 is 13.


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 9070/962, 2920/3809

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 9070/962, 2920/3809?

Answer: LCM of Numerators as per given numbers 9070/962, 2920/3809 is

LCM of Numerators i.e. for 9070,2920 is 2648440

GCF of denominators i.e. for 962,3809 is 13.

Thus, LCM of Fractions is 2648440/13.Finally, LCM of Fractions for 9070/962, 2920/3809 is 2648440/13.