Least Common Multiple of 40/947, 748/197, 526/488

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/947, 748/197, 526/488 quickly i.e. 1967240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/947, 748/197, 526/488 is 1967240.

LCM(40/947, 748/197, 526/488) = 1967240

LCM of 40/947, 748/197, 526/488

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 40/947,748/197,526/488

Given numbers are 40/947,748/197,526/488

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 40,748,526

Least Common Multiple of Numerators i.e. LCM of 40,748,526 is 1967240.

GCF of Denominators means GCF of 947,197,488 as per the given fractions.

GCF of 947,197,488 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,748,526

LCM of Fractions 40/947,748/197,526/488 is 1967240

2 40, 748, 526
2 20, 374, 263
10, 187, 263

∴ So the LCM of the given numbers is 2 x 2 x 10 x 187 x 263 = 1967240

Least Common Multiple of 40,748,526 with GCF Formula

Least Common Multiple of 40,748,526 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 40,748,526 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,748,526) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(40,748,526) x common factors =2 x 4 = 8

LCM(40,748,526) = ( 40 × 748 × 526 ) / 8

LCM(40,748,526) = 15737920 / 8

LCM(40,748,526) = 1967240


Lets's calculate GCF of 947,197,488

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1967240/1

Therefore the LCM of Fractions 40/947,748/197,526/488 is 1967240

Greatest Common Factor of 947,197,488 By Matching Biggest Common Factor Method

Greatest Common Factor of 947,197,488 By Matching Biggest Common Factor Method

Factors of 947

List of positive integer factors of 947 that divides 947 without a remainder.

1,947

Factors of 197

List of positive integer factors of 197 that divides 197 without a remainder.

1,197

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Greatest Common Factor

We found the factors 947,197,488 . The biggest common factor number is the GCF number.
So the greatest common factor 947,197,488 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 40/947, 748/197, 526/488

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 40/947, 748/197, 526/488?

Answer: LCM of Numerators as per given numbers 40/947, 748/197, 526/488 is

LCM of Numerators i.e. for 40,748,526 is 1967240

GCF of denominators i.e. for 947,197,488 is 1.

Thus, LCM of Fractions is 1967240.Finally, LCM of Fractions for 40/947, 748/197, 526/488 is 1967240.