Least Common Multiple of 36/697, 153/962, 912/368

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/697, 153/962, 912/368 quickly i.e. 46512 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/697, 153/962, 912/368 is 46512.

LCM(36/697, 153/962, 912/368) = 46512

LCM of 36/697, 153/962, 912/368

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 36/697,153/962,912/368

Given numbers are 36/697,153/962,912/368

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 36,153,912

Least Common Multiple of Numerators i.e. LCM of 36,153,912 is 46512.

GCF of Denominators means GCF of 697,962,368 as per the given fractions.

GCF of 697,962,368 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,153,912

LCM of Fractions 36/697,153/962,912/368 is 46512

2 36, 153, 912
2 18, 153, 456
3 9, 153, 228
3 3, 51, 76
1, 17, 76

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 1 x 17 x 76 = 46512

Least Common Multiple of 36,153,912 with GCF Formula

Least Common Multiple of 36,153,912 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 36,153,912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,153,912) = 3

common factors(in case of two or more numbers have common factors) = 36

GCF(36,153,912) x common factors =3 x 36 = 108

LCM(36,153,912) = ( 36 × 153 × 912 ) / 108

LCM(36,153,912) = 5023296 / 108

LCM(36,153,912) = 46512


Lets's calculate GCF of 697,962,368

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46512/1

Therefore the LCM of Fractions 36/697,153/962,912/368 is 46512

Greatest Common Factor of 697,962,368 By Matching Biggest Common Factor Method

Greatest Common Factor of 697,962,368 By Matching Biggest Common Factor Method

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1,2,13,26,37,74,481,962

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Greatest Common Factor

We found the factors 697,962,368 . The biggest common factor number is the GCF number.
So the greatest common factor 697,962,368 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 36/697, 153/962, 912/368

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 36/697, 153/962, 912/368?

Answer: LCM of Numerators as per given numbers 36/697, 153/962, 912/368 is

LCM of Numerators i.e. for 36,153,912 is 46512

GCF of denominators i.e. for 697,962,368 is 1.

Thus, LCM of Fractions is 46512.Finally, LCM of Fractions for 36/697, 153/962, 912/368 is 46512.