Least Common Multiple of 87/318, 66/548, 526/807

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/318, 66/548, 526/807 quickly i.e. 503382 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/318, 66/548, 526/807 is 503382.

LCM(87/318, 66/548, 526/807) = 503382

LCM of 87/318, 66/548, 526/807

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 87/318,66/548,526/807

Given numbers are 87/318,66/548,526/807

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 87,66,526

Least Common Multiple of Numerators i.e. LCM of 87,66,526 is 503382.

GCF of Denominators means GCF of 318,548,807 as per the given fractions.

GCF of 318,548,807 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,66,526

LCM of Fractions 87/318,66/548,526/807 is 503382

2 87, 66, 526
3 87, 33, 263
29, 11, 263

∴ So the LCM of the given numbers is 2 x 3 x 29 x 11 x 263 = 503382

Least Common Multiple of 87,66,526 with GCF Formula

Least Common Multiple of 87,66,526 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 87,66,526 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,66,526) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(87,66,526) x common factors =1 x 6 = 6

LCM(87,66,526) = ( 87 × 66 × 526 ) / 6

LCM(87,66,526) = 3020292 / 6

LCM(87,66,526) = 503382


Lets's calculate GCF of 318,548,807

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 503382/1

Therefore the LCM of Fractions 87/318,66/548,526/807 is 503382

Greatest Common Factor of 318,548,807 By Matching Biggest Common Factor Method

Greatest Common Factor of 318,548,807 By Matching Biggest Common Factor Method

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Factors of 807

List of positive integer factors of 807 that divides 807 without a remainder.

1,3,269,807

Greatest Common Factor

We found the factors 318,548,807 . The biggest common factor number is the GCF number.
So the greatest common factor 318,548,807 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 87/318, 66/548, 526/807

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 87/318, 66/548, 526/807?

Answer: LCM of Numerators as per given numbers 87/318, 66/548, 526/807 is

LCM of Numerators i.e. for 87,66,526 is 503382

GCF of denominators i.e. for 318,548,807 is 1.

Thus, LCM of Fractions is 503382.Finally, LCM of Fractions for 87/318, 66/548, 526/807 is 503382.