Least Common Multiple of 356/176, 978/992, 543/632

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 356/176, 978/992, 543/632 quickly i.e. 31509204/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 356/176, 978/992, 543/632 is 31509204/8.

LCM(356/176, 978/992, 543/632) = 31509204/8

LCM of 356/176, 978/992, 543/632

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 356/176,978/992,543/632

Given numbers are 356/176,978/992,543/632

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 356,978,543

Least Common Multiple of Numerators i.e. LCM of 356,978,543 is 31509204.

GCF of Denominators means GCF of 176,992,632 as per the given fractions.

GCF of 176,992,632 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 356,978,543

LCM of Fractions 356/176,978/992,543/632 is 31509204/8

2 356, 978, 543
3 178, 489, 543
178, 163, 181

∴ So the LCM of the given numbers is 2 x 3 x 178 x 163 x 181 = 31509204

Least Common Multiple of 356,978,543 with GCF Formula

Least Common Multiple of 356,978,543 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 356,978,543 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(356,978,543) = 1

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

GCF(356,978,543) x common factors =1 x 6 = 6

LCM(356,978,543) = ( 356 × 978 × 543 ) / 6

LCM(356,978,543) = 189055224 / 6

LCM(356,978,543) = 31509204


Lets's calculate GCF of 176,992,632

2 176, 992, 632
2 88, 496, 316
2 44, 248, 158
22, 124, 79

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31509204/8

Therefore the LCM of Fractions 356/176,978/992,543/632 is 31509204/8

Greatest Common Factor of 176,992,632 By Matching Biggest Common Factor Method

Greatest Common Factor of 176,992,632 By Matching Biggest Common Factor Method

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Factors of 632

List of positive integer factors of 632 that divides 632 without a remainder.

1,2,4,8,79,158,316,632

Greatest Common Factor

We found the factors 176,992,632 . The biggest common factor number is the GCF number.
So the greatest common factor 176,992,632 is 8.


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 356/176, 978/992, 543/632

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 356/176, 978/992, 543/632?

Answer: LCM of Numerators as per given numbers 356/176, 978/992, 543/632 is

LCM of Numerators i.e. for 356,978,543 is 31509204

GCF of denominators i.e. for 176,992,632 is 8.

Thus, LCM of Fractions is 31509204/8.Finally, LCM of Fractions for 356/176, 978/992, 543/632 is 31509204/8.