Least Common Multiple of 150/77, 668/2072

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 150/77, 668/2072 quickly i.e. 50100/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 150/77, 668/2072 is 50100/7.

LCM(150/77, 668/2072) = 50100/7

LCM of 150/77, 668/2072

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 150/77,668/2072

Given numbers are 150/77,668/2072

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 150,668

Least Common Multiple of Numerators i.e. LCM of 150,668 is 50100.

GCF of Denominators means GCF of 77,2072 as per the given fractions.

GCF of 77,2072 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 150,668

LCM of Fractions 150/77,668/2072 is 50100/7

2 150, 668
75, 334

∴ So the LCM of the given numbers is 2 x 75 x 334 = 50100

Least Common Multiple of 150,668 with GCF Formula

Least Common Multiple of 150,668 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 150,668 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(150,668) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(150,668) x common factors =2 x 1 = 2

LCM(150,668) = ( 150 × 668 ) / 2

LCM(150,668) = 100200 / 2

LCM(150,668) = 50100


Lets's calculate GCF of 77,2072

7 77, 2072
11, 296

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50100/7

Therefore the LCM of Fractions 150/77,668/2072 is 50100/7

Greatest Common Factor of 77,2072 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,2072 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 2072

List of positive integer factors of 2072 that divides 2072 without a remainder.

1,2,4,7,8,14,28,37,56,74,148,259,296,518,1036,2072

Greatest Common Factor

We found the factors 77,2072 . The biggest common factor number is the GCF number.
So the greatest common factor 77,2072 is 7.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 150/77, 668/2072

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 150/77, 668/2072?

Answer: LCM of Numerators as per given numbers 150/77, 668/2072 is

LCM of Numerators i.e. for 150,668 is 50100

GCF of denominators i.e. for 77,2072 is 7.

Thus, LCM of Fractions is 50100/7.Finally, LCM of Fractions for 150/77, 668/2072 is 50100/7.