Least Common Multiple of 850/12, 719/56, 508/732

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 850/12, 719/56, 508/732 quickly i.e. 38808025 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 850/12, 719/56, 508/732 is 38808025.

LCM(850/12, 719/56, 508/732) = 38808025

LCM of 850/12, 719/56, 508/732

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 850/12,719/56,508/732

Given numbers are 850/12,719/56,508/732

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 850,719,508

Least Common Multiple of Numerators i.e. LCM of 850,719,508 is 155232100.

GCF of Denominators means GCF of 12,56,732 as per the given fractions.

GCF of 12,56,732 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 850,719,508

LCM of Fractions 850/12,719/56,508/732 is 38808025

2 850, 719, 508
425, 719, 254

∴ So the LCM of the given numbers is 2 x 425 x 719 x 254 = 155232100

Least Common Multiple of 850,719,508 with GCF Formula

Least Common Multiple of 850,719,508 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 850,719,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(850,719,508) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(850,719,508) x common factors =1 x 2 = 2

LCM(850,719,508) = ( 850 × 719 × 508 ) / 2

LCM(850,719,508) = 310464200 / 2

LCM(850,719,508) = 155232100


Lets's calculate GCF of 12,56,732

2 12, 56, 732
2 6, 28, 366
3, 14, 183

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 155232100/4

Therefore the LCM of Fractions 850/12,719/56,508/732 is 38808025

Greatest Common Factor of 12,56,732 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,56,732 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Greatest Common Factor

We found the factors 12,56,732 . The biggest common factor number is the GCF number.
So the greatest common factor 12,56,732 is 4.


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 850/12, 719/56, 508/732

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 850/12, 719/56, 508/732?

Answer: LCM of Numerators as per given numbers 850/12, 719/56, 508/732 is

LCM of Numerators i.e. for 850,719,508 is 155232100

GCF of denominators i.e. for 12,56,732 is 4.

Thus, LCM of Fractions is 38808025.Finally, LCM of Fractions for 850/12, 719/56, 508/732 is 38808025.