Least Common Multiple of 1136/152, 1574/1216

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1136/152, 1574/1216 quickly i.e. 894032/152 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1136/152, 1574/1216 is 894032/152.

LCM(1136/152, 1574/1216) = 894032/152

LCM of 1136/152, 1574/1216

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 1136/152,1574/1216

Given numbers are 1136/152,1574/1216

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 1136,1574

Least Common Multiple of Numerators i.e. LCM of 1136,1574 is 894032.

GCF of Denominators means GCF of 152,1216 as per the given fractions.

GCF of 152,1216 is 152 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1136,1574

LCM of Fractions 1136/152,1574/1216 is 894032/152

2 1136, 1574
568, 787

∴ So the LCM of the given numbers is 2 x 568 x 787 = 894032

Least Common Multiple of 1136,1574 with GCF Formula

Least Common Multiple of 1136,1574 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 1136,1574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1136,1574) = 2

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

GCF(1136,1574) x common factors =2 x 1 = 2

LCM(1136,1574) = ( 1136 × 1574 ) / 2

LCM(1136,1574) = 1788064 / 2

LCM(1136,1574) = 894032


Lets's calculate GCF of 152,1216

2 152, 1216
2 76, 608
2 38, 304
19 19, 152
1, 8

∴ So the GCF of the given numbers is 2 x 2 x 2 x 19 = 152

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 894032/152

Therefore the LCM of Fractions 1136/152,1574/1216 is 894032/152

Greatest Common Factor of 152,1216 By Matching Biggest Common Factor Method

Greatest Common Factor of 152,1216 By Matching Biggest Common Factor Method

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Factors of 1216

List of positive integer factors of 1216 that divides 1216 without a remainder.

1,2,4,8,16,19,32,38,64,76,152,304,608,1216

Greatest Common Factor

We found the factors 152,1216 . The biggest common factor number is the GCF number.
So the greatest common factor 152,1216 is 152.


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 1136/152, 1574/1216

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 1136/152, 1574/1216?

Answer: LCM of Numerators as per given numbers 1136/152, 1574/1216 is

LCM of Numerators i.e. for 1136,1574 is 894032

GCF of denominators i.e. for 152,1216 is 152.

Thus, LCM of Fractions is 894032/152.Finally, LCM of Fractions for 1136/152, 1574/1216 is 894032/152.