Least Common Multiple of 56/851, 162/439, 704/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/851, 162/439, 704/748 quickly i.e. 399168 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/851, 162/439, 704/748 is 399168.

LCM(56/851, 162/439, 704/748) = 399168

LCM of 56/851, 162/439, 704/748

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 56/851,162/439,704/748

Given numbers are 56/851,162/439,704/748

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 56,162,704

Least Common Multiple of Numerators i.e. LCM of 56,162,704 is 399168.

GCF of Denominators means GCF of 851,439,748 as per the given fractions.

GCF of 851,439,748 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,162,704

LCM of Fractions 56/851,162/439,704/748 is 399168

2 56, 162, 704
2 28, 81, 352
2 14, 81, 176
7, 81, 88

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 81 x 88 = 399168

Least Common Multiple of 56,162,704 with GCF Formula

Least Common Multiple of 56,162,704 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 56,162,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,162,704) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(56,162,704) x common factors =2 x 8 = 16

LCM(56,162,704) = ( 56 × 162 × 704 ) / 16

LCM(56,162,704) = 6386688 / 16

LCM(56,162,704) = 399168


Lets's calculate GCF of 851,439,748

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 399168/1

Therefore the LCM of Fractions 56/851,162/439,704/748 is 399168

Greatest Common Factor of 851,439,748 By Matching Biggest Common Factor Method

Greatest Common Factor of 851,439,748 By Matching Biggest Common Factor Method

Factors of 851

List of positive integer factors of 851 that divides 851 without a remainder.

1,23,37,851

Factors of 439

List of positive integer factors of 439 that divides 439 without a remainder.

1,439

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Greatest Common Factor

We found the factors 851,439,748 . The biggest common factor number is the GCF number.
So the greatest common factor 851,439,748 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 56/851, 162/439, 704/748

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 56/851, 162/439, 704/748?

Answer: LCM of Numerators as per given numbers 56/851, 162/439, 704/748 is

LCM of Numerators i.e. for 56,162,704 is 399168

GCF of denominators i.e. for 851,439,748 is 1.

Thus, LCM of Fractions is 399168.Finally, LCM of Fractions for 56/851, 162/439, 704/748 is 399168.