Least Common Multiple of 22/154, 143/88, 767/918

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/154, 143/88, 767/918 quickly i.e. 8437 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/154, 143/88, 767/918 is 8437.

LCM(22/154, 143/88, 767/918) = 8437

LCM of 22/154, 143/88, 767/918

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 22/154,143/88,767/918

Given numbers are 22/154,143/88,767/918

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 22,143,767

Least Common Multiple of Numerators i.e. LCM of 22,143,767 is 16874.

GCF of Denominators means GCF of 154,88,918 as per the given fractions.

GCF of 154,88,918 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,143,767

LCM of Fractions 22/154,143/88,767/918 is 8437

11 22, 143, 767
13 2, 13, 767
2, 1, 59

∴ So the LCM of the given numbers is 11 x 13 x 2 x 1 x 59 = 16874

Least Common Multiple of 22,143,767 with GCF Formula

Least Common Multiple of 22,143,767 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 22,143,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,143,767) = 1

common factors(in case of two or more numbers have common factors) = 143

GCF(22,143,767) x common factors =1 x 143 = 143

LCM(22,143,767) = ( 22 × 143 × 767 ) / 143

LCM(22,143,767) = 2412982 / 143

LCM(22,143,767) = 16874


Lets's calculate GCF of 154,88,918

2 154, 88, 918
77, 44, 459

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16874/2

Therefore the LCM of Fractions 22/154,143/88,767/918 is 8437

Greatest Common Factor of 154,88,918 By Matching Biggest Common Factor Method

Greatest Common Factor of 154,88,918 By Matching Biggest Common Factor Method

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1,2,7,11,14,22,77,154

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Greatest Common Factor

We found the factors 154,88,918 . The biggest common factor number is the GCF number.
So the greatest common factor 154,88,918 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 22/154, 143/88, 767/918

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 22/154, 143/88, 767/918?

Answer: LCM of Numerators as per given numbers 22/154, 143/88, 767/918 is

LCM of Numerators i.e. for 22,143,767 is 16874

GCF of denominators i.e. for 154,88,918 is 2.

Thus, LCM of Fractions is 8437.Finally, LCM of Fractions for 22/154, 143/88, 767/918 is 8437.