Least Common Multiple of 736/570, 196/780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 736/570, 196/780 quickly i.e. 36064/30 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 736/570, 196/780 is 36064/30.

LCM(736/570, 196/780) = 36064/30

LCM of 736/570, 196/780

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 736/570,196/780

Given numbers are 736/570,196/780

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 736,196

Least Common Multiple of Numerators i.e. LCM of 736,196 is 36064.

GCF of Denominators means GCF of 570,780 as per the given fractions.

GCF of 570,780 is 30 as it is the largest common factor for these numbers.

Lets's calculate LCM of 736,196

LCM of Fractions 736/570,196/780 is 36064/30

2 736, 196
2 368, 98
184, 49

∴ So the LCM of the given numbers is 2 x 2 x 184 x 49 = 36064

Least Common Multiple of 736,196 with GCF Formula

Least Common Multiple of 736,196 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 736,196 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(736,196) = 4

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

GCF(736,196) x common factors =4 x 1 = 4

LCM(736,196) = ( 736 × 196 ) / 4

LCM(736,196) = 144256 / 4

LCM(736,196) = 36064


Lets's calculate GCF of 570,780

2 570, 780
3 285, 390
5 95, 130
19, 26

∴ So the GCF of the given numbers is 2 x 3 x 5 = 30

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36064/30

Therefore the LCM of Fractions 736/570,196/780 is 36064/30

Greatest Common Factor of 570,780 By Matching Biggest Common Factor Method

Greatest Common Factor of 570,780 By Matching Biggest Common Factor Method

Factors of 570

List of positive integer factors of 570 that divides 570 without a remainder.

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

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 570,780 . The biggest common factor number is the GCF number.
So the greatest common factor 570,780 is 30.


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 736/570, 196/780

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 736/570, 196/780?

Answer: LCM of Numerators as per given numbers 736/570, 196/780 is

LCM of Numerators i.e. for 736,196 is 36064

GCF of denominators i.e. for 570,780 is 30.

Thus, LCM of Fractions is 36064/30.Finally, LCM of Fractions for 736/570, 196/780 is 36064/30.