Least Common Multiple of 920/689, 9098/650

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 920/689, 9098/650 quickly i.e. 4185080/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 920/689, 9098/650 is 4185080/13.

LCM(920/689, 9098/650) = 4185080/13

LCM of 920/689, 9098/650

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 920/689,9098/650

Given numbers are 920/689,9098/650

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 920,9098

Least Common Multiple of Numerators i.e. LCM of 920,9098 is 4185080.

GCF of Denominators means GCF of 689,650 as per the given fractions.

GCF of 689,650 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 920,9098

LCM of Fractions 920/689,9098/650 is 4185080/13

2 920, 9098
460, 4549

∴ So the LCM of the given numbers is 2 x 460 x 4549 = 4185080

Least Common Multiple of 920,9098 with GCF Formula

Least Common Multiple of 920,9098 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 920,9098 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(920,9098) = 2

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

GCF(920,9098) x common factors =2 x 1 = 2

LCM(920,9098) = ( 920 × 9098 ) / 2

LCM(920,9098) = 8370160 / 2

LCM(920,9098) = 4185080


Lets's calculate GCF of 689,650

13 689, 650
53, 50

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4185080/13

Therefore the LCM of Fractions 920/689,9098/650 is 4185080/13

Greatest Common Factor of 689,650 By Matching Biggest Common Factor Method

Greatest Common Factor of 689,650 By Matching Biggest Common Factor Method

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Factors of 650

List of positive integer factors of 650 that divides 650 without a remainder.

1,2,5,10,13,25,26,50,65,130,325,650

Greatest Common Factor

We found the factors 689,650 . The biggest common factor number is the GCF number.
So the greatest common factor 689,650 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 920/689, 9098/650

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 920/689, 9098/650?

Answer: LCM of Numerators as per given numbers 920/689, 9098/650 is

LCM of Numerators i.e. for 920,9098 is 4185080

GCF of denominators i.e. for 689,650 is 13.

Thus, LCM of Fractions is 4185080/13.Finally, LCM of Fractions for 920/689, 9098/650 is 4185080/13.