Least Common Multiple of 980/190, 3677/780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 980/190, 3677/780 quickly i.e. 360346 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 980/190, 3677/780 is 360346.

LCM(980/190, 3677/780) = 360346

LCM of 980/190, 3677/780

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 980/190,3677/780

Given numbers are 980/190,3677/780

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 980,3677

Least Common Multiple of Numerators i.e. LCM of 980,3677 is 3603460.

GCF of Denominators means GCF of 190,780 as per the given fractions.

GCF of 190,780 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 980,3677

LCM of Fractions 980/190,3677/780 is 360346

Given numbers has no common factors except 1. So, there LCM is their product i.e 3603460

Least Common Multiple of 980,3677 with GCF Formula

Least Common Multiple of 980,3677 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 980,3677 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(980,3677) = 1

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

GCF(980,3677) x common factors =1 x 1 = 1

LCM(980,3677) = ( 980 × 3677 ) / 1

LCM(980,3677) = 3603460 / 1

LCM(980,3677) = 3603460


Lets's calculate GCF of 190,780

2 190, 780
5 95, 390
19, 78

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3603460/10

Therefore the LCM of Fractions 980/190,3677/780 is 360346

Greatest Common Factor of 190,780 By Matching Biggest Common Factor Method

Greatest Common Factor of 190,780 By Matching Biggest Common Factor Method

Factors of 190

List of positive integer factors of 190 that divides 190 without a remainder.

1,2,5,10,19,38,95,190

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Greatest Common Factor

We found the factors 190,780 . The biggest common factor number is the GCF number.
So the greatest common factor 190,780 is 10.


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 980/190, 3677/780

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 980/190, 3677/780?

Answer: LCM of Numerators as per given numbers 980/190, 3677/780 is

LCM of Numerators i.e. for 980,3677 is 3603460

GCF of denominators i.e. for 190,780 is 10.

Thus, LCM of Fractions is 360346.Finally, LCM of Fractions for 980/190, 3677/780 is 360346.