Least Common Multiple of 53/152, 795/283, 651/716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/152, 795/283, 651/716 quickly i.e. 172515 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/152, 795/283, 651/716 is 172515.

LCM(53/152, 795/283, 651/716) = 172515

LCM of 53/152, 795/283, 651/716

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 53/152,795/283,651/716

Given numbers are 53/152,795/283,651/716

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 53,795,651

Least Common Multiple of Numerators i.e. LCM of 53,795,651 is 172515.

GCF of Denominators means GCF of 152,283,716 as per the given fractions.

GCF of 152,283,716 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,795,651

LCM of Fractions 53/152,795/283,651/716 is 172515

3 53, 795, 651
53 53, 265, 217
1, 5, 217

∴ So the LCM of the given numbers is 3 x 53 x 1 x 5 x 217 = 172515

Least Common Multiple of 53,795,651 with GCF Formula

Least Common Multiple of 53,795,651 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 53,795,651 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,795,651) = 1

common factors(in case of two or more numbers have common factors) = 159

GCF(53,795,651) x common factors =1 x 159 = 159

LCM(53,795,651) = ( 53 × 795 × 651 ) / 159

LCM(53,795,651) = 27429885 / 159

LCM(53,795,651) = 172515


Lets's calculate GCF of 152,283,716

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 172515/1

Therefore the LCM of Fractions 53/152,795/283,651/716 is 172515

Greatest Common Factor of 152,283,716 By Matching Biggest Common Factor Method

Greatest Common Factor of 152,283,716 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 283

List of positive integer factors of 283 that divides 283 without a remainder.

1,283

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Greatest Common Factor

We found the factors 152,283,716 . The biggest common factor number is the GCF number.
So the greatest common factor 152,283,716 is 1.


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 53/152, 795/283, 651/716

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 53/152, 795/283, 651/716?

Answer: LCM of Numerators as per given numbers 53/152, 795/283, 651/716 is

LCM of Numerators i.e. for 53,795,651 is 172515

GCF of denominators i.e. for 152,283,716 is 1.

Thus, LCM of Fractions is 172515.Finally, LCM of Fractions for 53/152, 795/283, 651/716 is 172515.