Least Common Multiple of 56/966, 21/692, 368/490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/966, 21/692, 368/490 quickly i.e. 3864 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/966, 21/692, 368/490 is 3864.

LCM(56/966, 21/692, 368/490) = 3864

LCM of 56/966, 21/692, 368/490

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 56/966,21/692,368/490

Given numbers are 56/966,21/692,368/490

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 56,21,368

Least Common Multiple of Numerators i.e. LCM of 56,21,368 is 7728.

GCF of Denominators means GCF of 966,692,490 as per the given fractions.

GCF of 966,692,490 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,21,368

LCM of Fractions 56/966,21/692,368/490 is 3864

2 56, 21, 368
2 28, 21, 184
2 14, 21, 92
7 7, 21, 46
1, 3, 46

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 1 x 3 x 46 = 7728

Least Common Multiple of 56,21,368 with GCF Formula

Least Common Multiple of 56,21,368 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 56,21,368 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,21,368) = 1

common factors(in case of two or more numbers have common factors) = 56

GCF(56,21,368) x common factors =1 x 56 = 56

LCM(56,21,368) = ( 56 × 21 × 368 ) / 56

LCM(56,21,368) = 432768 / 56

LCM(56,21,368) = 7728


Lets's calculate GCF of 966,692,490

2 966, 692, 490
483, 346, 245

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7728/2

Therefore the LCM of Fractions 56/966,21/692,368/490 is 3864

Greatest Common Factor of 966,692,490 By Matching Biggest Common Factor Method

Greatest Common Factor of 966,692,490 By Matching Biggest Common Factor Method

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Factors of 692

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

1,2,4,173,346,692

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Greatest Common Factor

We found the factors 966,692,490 . The biggest common factor number is the GCF number.
So the greatest common factor 966,692,490 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 56/966, 21/692, 368/490

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 56/966, 21/692, 368/490?

Answer: LCM of Numerators as per given numbers 56/966, 21/692, 368/490 is

LCM of Numerators i.e. for 56,21,368 is 7728

GCF of denominators i.e. for 966,692,490 is 2.

Thus, LCM of Fractions is 3864.Finally, LCM of Fractions for 56/966, 21/692, 368/490 is 3864.