Least Common Multiple of 66/77, 65/31, 49/17, 10/504

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/77, 65/31, 49/17, 10/504 quickly i.e. 210210 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/77, 65/31, 49/17, 10/504 is 210210.

LCM(66/77, 65/31, 49/17, 10/504) = 210210

LCM of 66/77, 65/31, 49/17, 10/504

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 66/77,65/31,49/17,10/504

Given numbers are 66/77,65/31,49/17,10/504

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 66,65,49,10

Least Common Multiple of Numerators i.e. LCM of 66,65,49,10 is 210210.

GCF of Denominators means GCF of 77,31,17,504 as per the given fractions.

GCF of 77,31,17,504 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,65,49,10

LCM of Fractions 66/77,65/31,49/17,10/504 is 210210

2 66, 65, 49, 10
5 33, 65, 49, 5
33, 13, 49, 1

∴ So the LCM of the given numbers is 2 x 5 x 33 x 13 x 49 x 1 = 210210

Least Common Multiple of 66,65,49,10 with GCF Formula

Least Common Multiple of 66,65,49,10 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 66,65,49,10 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,65,49,10) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(66,65,49,10) x common factors =1 x 10 = 10

LCM(66,65,49,10) = ( 66 × 65 × 49 × 10 ) / 10

LCM(66,65,49,10) = 2102100 / 10

LCM(66,65,49,10) = 210210


Lets's calculate GCF of 77,31,17,504

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 210210/1

Therefore the LCM of Fractions 66/77,65/31,49/17,10/504 is 210210

Greatest Common Factor of 77,31,17,504 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,31,17,504 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Greatest Common Factor

We found the factors 77,31,17,504 . The biggest common factor number is the GCF number.
So the greatest common factor 77,31,17,504 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 66/77, 65/31, 49/17, 10/504

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 66/77, 65/31, 49/17, 10/504?

Answer: LCM of Numerators as per given numbers 66/77, 65/31, 49/17, 10/504 is

LCM of Numerators i.e. for 66,65,49,10 is 210210

GCF of denominators i.e. for 77,31,17,504 is 1.

Thus, LCM of Fractions is 210210.Finally, LCM of Fractions for 66/77, 65/31, 49/17, 10/504 is 210210.