Least Common Multiple of 977/157, 233/606, 368/896

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 977/157, 233/606, 368/896 quickly i.e. 83771888 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 977/157, 233/606, 368/896 is 83771888.

LCM(977/157, 233/606, 368/896) = 83771888

LCM of 977/157, 233/606, 368/896

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 977/157,233/606,368/896

Given numbers are 977/157,233/606,368/896

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 977,233,368

Least Common Multiple of Numerators i.e. LCM of 977,233,368 is 83771888.

GCF of Denominators means GCF of 157,606,896 as per the given fractions.

GCF of 157,606,896 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 977,233,368

LCM of Fractions 977/157,233/606,368/896 is 83771888

Given numbers has no common factors except 1. So, there LCM is their product i.e 83771888

Least Common Multiple of 977,233,368 with GCF Formula

Least Common Multiple of 977,233,368 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 977,233,368 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(977,233,368) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(977,233,368) x common factors =1 x 1 = 1

LCM(977,233,368) = ( 977 × 233 × 368 ) / 1

LCM(977,233,368) = 83771888 / 1

LCM(977,233,368) = 83771888


Lets's calculate GCF of 157,606,896

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 83771888/1

Therefore the LCM of Fractions 977/157,233/606,368/896 is 83771888

Greatest Common Factor of 157,606,896 By Matching Biggest Common Factor Method

Greatest Common Factor of 157,606,896 By Matching Biggest Common Factor Method

Factors of 157

List of positive integer factors of 157 that divides 157 without a remainder.

1,157

Factors of 606

List of positive integer factors of 606 that divides 606 without a remainder.

1,2,3,6,101,202,303,606

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Greatest Common Factor

We found the factors 157,606,896 . The biggest common factor number is the GCF number.
So the greatest common factor 157,606,896 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 977/157, 233/606, 368/896

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 977/157, 233/606, 368/896?

Answer: LCM of Numerators as per given numbers 977/157, 233/606, 368/896 is

LCM of Numerators i.e. for 977,233,368 is 83771888

GCF of denominators i.e. for 157,606,896 is 1.

Thus, LCM of Fractions is 83771888.Finally, LCM of Fractions for 977/157, 233/606, 368/896 is 83771888.