Least Common Multiple of 67/607, 77/527, 971/123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/607, 77/527, 971/123 quickly i.e. 5009389 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/607, 77/527, 971/123 is 5009389.

LCM(67/607, 77/527, 971/123) = 5009389

LCM of 67/607, 77/527, 971/123

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 67/607,77/527,971/123

Given numbers are 67/607,77/527,971/123

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 67,77,971

Least Common Multiple of Numerators i.e. LCM of 67,77,971 is 5009389.

GCF of Denominators means GCF of 607,527,123 as per the given fractions.

GCF of 607,527,123 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,77,971

LCM of Fractions 67/607,77/527,971/123 is 5009389

Given numbers has no common factors except 1. So, there LCM is their product i.e 5009389

Least Common Multiple of 67,77,971 with GCF Formula

Least Common Multiple of 67,77,971 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 67,77,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,77,971) = 1

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

GCF(67,77,971) x common factors =1 x 1 = 1

LCM(67,77,971) = ( 67 × 77 × 971 ) / 1

LCM(67,77,971) = 5009389 / 1

LCM(67,77,971) = 5009389


Lets's calculate GCF of 607,527,123

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5009389/1

Therefore the LCM of Fractions 67/607,77/527,971/123 is 5009389

Greatest Common Factor of 607,527,123 By Matching Biggest Common Factor Method

Greatest Common Factor of 607,527,123 By Matching Biggest Common Factor Method

Factors of 607

List of positive integer factors of 607 that divides 607 without a remainder.

1,607

Factors of 527

List of positive integer factors of 527 that divides 527 without a remainder.

1,17,31,527

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Greatest Common Factor

We found the factors 607,527,123 . The biggest common factor number is the GCF number.
So the greatest common factor 607,527,123 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 67/607, 77/527, 971/123

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 67/607, 77/527, 971/123?

Answer: LCM of Numerators as per given numbers 67/607, 77/527, 971/123 is

LCM of Numerators i.e. for 67,77,971 is 5009389

GCF of denominators i.e. for 607,527,123 is 1.

Thus, LCM of Fractions is 5009389.Finally, LCM of Fractions for 67/607, 77/527, 971/123 is 5009389.