Least Common Multiple of 59/946, 66/624, 502/170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/946, 66/624, 502/170 quickly i.e. 488697 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/946, 66/624, 502/170 is 488697.

LCM(59/946, 66/624, 502/170) = 488697

LCM of 59/946, 66/624, 502/170

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 59/946,66/624,502/170

Given numbers are 59/946,66/624,502/170

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 59,66,502

Least Common Multiple of Numerators i.e. LCM of 59,66,502 is 977394.

GCF of Denominators means GCF of 946,624,170 as per the given fractions.

GCF of 946,624,170 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,66,502

LCM of Fractions 59/946,66/624,502/170 is 488697

2 59, 66, 502
59, 33, 251

∴ So the LCM of the given numbers is 2 x 59 x 33 x 251 = 977394

Least Common Multiple of 59,66,502 with GCF Formula

Least Common Multiple of 59,66,502 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 59,66,502 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,66,502) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(59,66,502) x common factors =1 x 2 = 2

LCM(59,66,502) = ( 59 × 66 × 502 ) / 2

LCM(59,66,502) = 1954788 / 2

LCM(59,66,502) = 977394


Lets's calculate GCF of 946,624,170

2 946, 624, 170
473, 312, 85

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 977394/2

Therefore the LCM of Fractions 59/946,66/624,502/170 is 488697

Greatest Common Factor of 946,624,170 By Matching Biggest Common Factor Method

Greatest Common Factor of 946,624,170 By Matching Biggest Common Factor Method

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1,2,11,22,43,86,473,946

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Greatest Common Factor

We found the factors 946,624,170 . The biggest common factor number is the GCF number.
So the greatest common factor 946,624,170 is 2.


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 59/946, 66/624, 502/170

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 59/946, 66/624, 502/170?

Answer: LCM of Numerators as per given numbers 59/946, 66/624, 502/170 is

LCM of Numerators i.e. for 59,66,502 is 977394

GCF of denominators i.e. for 946,624,170 is 2.

Thus, LCM of Fractions is 488697.Finally, LCM of Fractions for 59/946, 66/624, 502/170 is 488697.