Least Common Multiple of 52/936, 768/702, 840/994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/936, 768/702, 840/994 quickly i.e. 174720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/936, 768/702, 840/994 is 174720.

LCM(52/936, 768/702, 840/994) = 174720

LCM of 52/936, 768/702, 840/994

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 52/936,768/702,840/994

Given numbers are 52/936,768/702,840/994

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 52,768,840

Least Common Multiple of Numerators i.e. LCM of 52,768,840 is 349440.

GCF of Denominators means GCF of 936,702,994 as per the given fractions.

GCF of 936,702,994 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,768,840

LCM of Fractions 52/936,768/702,840/994 is 174720

2 52, 768, 840
2 26, 384, 420
2 13, 192, 210
3 13, 96, 105
13, 32, 35

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 13 x 32 x 35 = 349440

Least Common Multiple of 52,768,840 with GCF Formula

Least Common Multiple of 52,768,840 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 52,768,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,768,840) = 4

common factors(in case of two or more numbers have common factors) = 24

GCF(52,768,840) x common factors =4 x 24 = 96

LCM(52,768,840) = ( 52 × 768 × 840 ) / 96

LCM(52,768,840) = 33546240 / 96

LCM(52,768,840) = 349440


Lets's calculate GCF of 936,702,994

2 936, 702, 994
468, 351, 497

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 349440/2

Therefore the LCM of Fractions 52/936,768/702,840/994 is 174720

Greatest Common Factor of 936,702,994 By Matching Biggest Common Factor Method

Greatest Common Factor of 936,702,994 By Matching Biggest Common Factor Method

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Factors of 994

List of positive integer factors of 994 that divides 994 without a remainder.

1,2,7,14,71,142,497,994

Greatest Common Factor

We found the factors 936,702,994 . The biggest common factor number is the GCF number.
So the greatest common factor 936,702,994 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 52/936, 768/702, 840/994

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 52/936, 768/702, 840/994?

Answer: LCM of Numerators as per given numbers 52/936, 768/702, 840/994 is

LCM of Numerators i.e. for 52,768,840 is 349440

GCF of denominators i.e. for 936,702,994 is 2.

Thus, LCM of Fractions is 174720.Finally, LCM of Fractions for 52/936, 768/702, 840/994 is 174720.