Least Common Multiple of 68/692, 436/601, 771/972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/692, 436/601, 771/972 quickly i.e. 5714652 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/692, 436/601, 771/972 is 5714652.

LCM(68/692, 436/601, 771/972) = 5714652

LCM of 68/692, 436/601, 771/972

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 68/692,436/601,771/972

Given numbers are 68/692,436/601,771/972

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 68,436,771

Least Common Multiple of Numerators i.e. LCM of 68,436,771 is 5714652.

GCF of Denominators means GCF of 692,601,972 as per the given fractions.

GCF of 692,601,972 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,436,771

LCM of Fractions 68/692,436/601,771/972 is 5714652

2 68, 436, 771
2 34, 218, 771
17, 109, 771

∴ So the LCM of the given numbers is 2 x 2 x 17 x 109 x 771 = 5714652

Least Common Multiple of 68,436,771 with GCF Formula

Least Common Multiple of 68,436,771 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 68,436,771 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,436,771) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(68,436,771) x common factors =1 x 4 = 4

LCM(68,436,771) = ( 68 × 436 × 771 ) / 4

LCM(68,436,771) = 22858608 / 4

LCM(68,436,771) = 5714652


Lets's calculate GCF of 692,601,972

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5714652/1

Therefore the LCM of Fractions 68/692,436/601,771/972 is 5714652

Greatest Common Factor of 692,601,972 By Matching Biggest Common Factor Method

Greatest Common Factor of 692,601,972 By Matching Biggest Common Factor Method

Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

Factors of 601

List of positive integer factors of 601 that divides 601 without a remainder.

1,601

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Greatest Common Factor

We found the factors 692,601,972 . The biggest common factor number is the GCF number.
So the greatest common factor 692,601,972 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 68/692, 436/601, 771/972

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 68/692, 436/601, 771/972?

Answer: LCM of Numerators as per given numbers 68/692, 436/601, 771/972 is

LCM of Numerators i.e. for 68,436,771 is 5714652

GCF of denominators i.e. for 692,601,972 is 1.

Thus, LCM of Fractions is 5714652.Finally, LCM of Fractions for 68/692, 436/601, 771/972 is 5714652.