Least Common Multiple of 966/46, 880/31, 748/670

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 966/46, 880/31, 748/670 quickly i.e. 7225680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 966/46, 880/31, 748/670 is 7225680.

LCM(966/46, 880/31, 748/670) = 7225680

LCM of 966/46, 880/31, 748/670

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 966/46,880/31,748/670

Given numbers are 966/46,880/31,748/670

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 966,880,748

Least Common Multiple of Numerators i.e. LCM of 966,880,748 is 7225680.

GCF of Denominators means GCF of 46,31,670 as per the given fractions.

GCF of 46,31,670 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 966,880,748

LCM of Fractions 966/46,880/31,748/670 is 7225680

2 966, 880, 748
2 483, 440, 374
11 483, 220, 187
483, 20, 17

∴ So the LCM of the given numbers is 2 x 2 x 11 x 483 x 20 x 17 = 7225680

Least Common Multiple of 966,880,748 with GCF Formula

Least Common Multiple of 966,880,748 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 966,880,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(966,880,748) = 2

common factors(in case of two or more numbers have common factors) = 44

GCF(966,880,748) x common factors =2 x 44 = 88

LCM(966,880,748) = ( 966 × 880 × 748 ) / 88

LCM(966,880,748) = 635859840 / 88

LCM(966,880,748) = 7225680


Lets's calculate GCF of 46,31,670

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7225680/1

Therefore the LCM of Fractions 966/46,880/31,748/670 is 7225680

Greatest Common Factor of 46,31,670 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,31,670 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 31

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

1,31

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Greatest Common Factor

We found the factors 46,31,670 . The biggest common factor number is the GCF number.
So the greatest common factor 46,31,670 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 966/46, 880/31, 748/670

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 966/46, 880/31, 748/670?

Answer: LCM of Numerators as per given numbers 966/46, 880/31, 748/670 is

LCM of Numerators i.e. for 966,880,748 is 7225680

GCF of denominators i.e. for 46,31,670 is 1.

Thus, LCM of Fractions is 7225680.Finally, LCM of Fractions for 966/46, 880/31, 748/670 is 7225680.