Least Common Multiple of 66/70, 967/74, 506/250

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/70, 967/74, 506/250 quickly i.e. 733953 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/70, 967/74, 506/250 is 733953.

LCM(66/70, 967/74, 506/250) = 733953

LCM of 66/70, 967/74, 506/250

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 66/70,967/74,506/250

Given numbers are 66/70,967/74,506/250

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 66,967,506

Least Common Multiple of Numerators i.e. LCM of 66,967,506 is 1467906.

GCF of Denominators means GCF of 70,74,250 as per the given fractions.

GCF of 70,74,250 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,967,506

LCM of Fractions 66/70,967/74,506/250 is 733953

2 66, 967, 506
11 33, 967, 253
3, 967, 23

∴ So the LCM of the given numbers is 2 x 11 x 3 x 967 x 23 = 1467906

Least Common Multiple of 66,967,506 with GCF Formula

Least Common Multiple of 66,967,506 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 66,967,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,967,506) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(66,967,506) x common factors =1 x 22 = 22

LCM(66,967,506) = ( 66 × 967 × 506 ) / 22

LCM(66,967,506) = 32293932 / 22

LCM(66,967,506) = 1467906


Lets's calculate GCF of 70,74,250

2 70, 74, 250
35, 37, 125

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1467906/2

Therefore the LCM of Fractions 66/70,967/74,506/250 is 733953

Greatest Common Factor of 70,74,250 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,74,250 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 250

List of positive integer factors of 250 that divides 250 without a remainder.

1,2,5,10,25,50,125,250

Greatest Common Factor

We found the factors 70,74,250 . The biggest common factor number is the GCF number.
So the greatest common factor 70,74,250 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 66/70, 967/74, 506/250

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 66/70, 967/74, 506/250?

Answer: LCM of Numerators as per given numbers 66/70, 967/74, 506/250 is

LCM of Numerators i.e. for 66,967,506 is 1467906

GCF of denominators i.e. for 70,74,250 is 2.

Thus, LCM of Fractions is 733953.Finally, LCM of Fractions for 66/70, 967/74, 506/250 is 733953.