Least Common Multiple of 56/504, 879/702, 267/451

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/504, 879/702, 267/451 quickly i.e. 4380936 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/504, 879/702, 267/451 is 4380936.

LCM(56/504, 879/702, 267/451) = 4380936

LCM of 56/504, 879/702, 267/451

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 56/504,879/702,267/451

Given numbers are 56/504,879/702,267/451

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 56,879,267

Least Common Multiple of Numerators i.e. LCM of 56,879,267 is 4380936.

GCF of Denominators means GCF of 504,702,451 as per the given fractions.

GCF of 504,702,451 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,879,267

LCM of Fractions 56/504,879/702,267/451 is 4380936

3 56, 879, 267
56, 293, 89

∴ So the LCM of the given numbers is 3 x 56 x 293 x 89 = 4380936

Least Common Multiple of 56,879,267 with GCF Formula

Least Common Multiple of 56,879,267 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 56,879,267 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,879,267) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(56,879,267) x common factors =1 x 3 = 3

LCM(56,879,267) = ( 56 × 879 × 267 ) / 3

LCM(56,879,267) = 13142808 / 3

LCM(56,879,267) = 4380936


Lets's calculate GCF of 504,702,451

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4380936/1

Therefore the LCM of Fractions 56/504,879/702,267/451 is 4380936

Greatest Common Factor of 504,702,451 By Matching Biggest Common Factor Method

Greatest Common Factor of 504,702,451 By Matching Biggest Common Factor Method

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

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 451

List of positive integer factors of 451 that divides 451 without a remainder.

1,11,41,451

Greatest Common Factor

We found the factors 504,702,451 . The biggest common factor number is the GCF number.
So the greatest common factor 504,702,451 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 56/504, 879/702, 267/451

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 56/504, 879/702, 267/451?

Answer: LCM of Numerators as per given numbers 56/504, 879/702, 267/451 is

LCM of Numerators i.e. for 56,879,267 is 4380936

GCF of denominators i.e. for 504,702,451 is 1.

Thus, LCM of Fractions is 4380936.Finally, LCM of Fractions for 56/504, 879/702, 267/451 is 4380936.