Least Common Multiple of 980/58, 332/9690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 980/58, 332/9690 quickly i.e. 40670 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 980/58, 332/9690 is 40670.

LCM(980/58, 332/9690) = 40670

LCM of 980/58, 332/9690

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 980/58,332/9690

Given numbers are 980/58,332/9690

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 980,332

Least Common Multiple of Numerators i.e. LCM of 980,332 is 81340.

GCF of Denominators means GCF of 58,9690 as per the given fractions.

GCF of 58,9690 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 980,332

LCM of Fractions 980/58,332/9690 is 40670

2 980, 332
2 490, 166
245, 83

∴ So the LCM of the given numbers is 2 x 2 x 245 x 83 = 81340

Least Common Multiple of 980,332 with GCF Formula

Least Common Multiple of 980,332 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 980,332 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(980,332) = 4

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

GCF(980,332) x common factors =4 x 1 = 4

LCM(980,332) = ( 980 × 332 ) / 4

LCM(980,332) = 325360 / 4

LCM(980,332) = 81340


Lets's calculate GCF of 58,9690

2 58, 9690
29, 4845

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81340/2

Therefore the LCM of Fractions 980/58,332/9690 is 40670

Greatest Common Factor of 58,9690 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,9690 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 9690

List of positive integer factors of 9690 that divides 9690 without a remainder.

1,2,3,5,6,10,15,17,19,30,34,38,51,57,85,95,102,114,170,190,255,285,323,510,570,646,969,1615,1938,3230,4845,9690

Greatest Common Factor

We found the factors 58,9690 . The biggest common factor number is the GCF number.
So the greatest common factor 58,9690 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 980/58, 332/9690

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 980/58, 332/9690?

Answer: LCM of Numerators as per given numbers 980/58, 332/9690 is

LCM of Numerators i.e. for 980,332 is 81340

GCF of denominators i.e. for 58,9690 is 2.

Thus, LCM of Fractions is 40670.Finally, LCM of Fractions for 980/58, 332/9690 is 40670.